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Results

Estimated 1RM260 lb
Epley formula263
Brzycki formula253
85% (5 reps)221
75% (8 reps)195
65% (12 reps)169

What a one-repetition maximum represents

A one-repetition maximum, or 1RM, is the heaviest load completed once through the defined range of motion with acceptable technique. It is specific to the exercise, equipment, tempo, and rules used. A barbell bench-press 1RM cannot be transferred to a dumbbell press or machine chest press.

Direct testing measures performance on that day. An estimated 1RM uses a submaximal set and an equation. Estimation reduces exposure to a maximal attempt, but it adds model error.

It is most useful for programming and tracking, not for declaring an exact competitive maximum.

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Equations used by the calculator

The Epley equation is 1RM = weight × (1 + reps/30). Brzycki can be written as 1RM = weight ÷ (1.0278 - 0.0278 × reps). Lombardi is 1RM = weight × reps^0.10. These equations describe average relationships between a repetition maximum and the load lifted; they are not laws of muscle physiology. Validation studies repeatedly find smaller errors when the input set ends within ten repetitions. Accuracy changes by exercise and population.

Epley, Brzycki, and Lombardi can disagree because each curve assumes a different rate of load reduction as repetitions rise.

Common prediction equations

MethodEquationPractical note
Epleyw × (1 + r/30)Often close for low-repetition compound lifts
Brzyckiw ÷ (1.0278 - 0.0278r)Defined for fewer than 37 repetitions, useful below 10
Lombardiw × r^0.10Nonlinear and may diverge at higher repetitions

[1][3]

Training intensity as percentage of estimated 1RM. NSCA strength training guidelines.

% of 1RMApprox. repsTraining goal
85 to 100%1 to 5 repsMax strength
67 to 85%6 to 12 repsHypertrophy
50 to 67%12 to 20 repsMuscular endurance
Below 50%20+ repsLocal endurance, rehab

[1][3]

Worked example and range

Suppose a lifter completes 80 kg for five repetitions to technical failure. Epley gives 80 × (1 + 5/30) = 93.3 kg. Brzycki gives 80 ÷ (1.0278 - 0.0278 × 5) = 90.0 kg. Lombardi gives 80 × 5^0.10 = 94.0 kg.

The spread, about 90 to 94 kg, is more honest than treating one decimal place as exact. For a conservative training max, use roughly 90 to 95 percent of the estimate. If the average estimate is 92.4 kg, a 90 percent training max is about 83 kg. Percentages based on that training max leave room for normal daily variation and imperfect prediction.

[1][3]

Submaximal testing protocol

Choose the exact lift you intend to program. After a general warm-up, perform several progressively heavier sets without fatigue. Select a load expected to allow three to eight clean repetitions. End the test when another repetition would break the agreed technique or range of motion. Record load, repetitions, equipment, and any assistance. Rest at least three minutes before the test set. Do not use a set performed after many hard working sets.

A true repetition-maximum set is required for the stated formulas. If you stop with several repetitions in reserve, the equation underestimates the number you could complete and may misstate the maximum.

[2][4]

How to use this one-rep max calculator

Enter the external load and the number of completed repetitions from a set of ten or fewer. For dumbbells, follow the calculator label consistently, either one dumbbell or combined load. Save all formula outputs and their average. Program from the lower end when technique is new, fatigue is high, or safety margins matter. Repeat the same submaximal test after a training block, under similar conditions. If 80 kg rises from five to seven clean repetitions, the trend supports improved strength even if equation choice changes the exact number.

Avoid frequent testing solely to chase a larger calculated result.

[2][5]

Turning the estimate into training loads

Percentage zones overlap. Heavy sets above about 85 percent usually emphasize maximal strength, while moderate loads can build muscle when sets approach a challenging effort.

Load alone does not define adaptation; number of hard sets, repetition speed, rest, exercise selection, and progression also matter. Round to plates or machine increments you can load safely. A prescribed 72.5 percent does not require false precision. Autoregulate when the warm-up feels unusually slow: reduce the load, keep more repetitions in reserve, or postpone a heavy test.

Conservative uses of an estimated 1RM

PurposeApproximate loadTypical use
Technique and volume50 to 70%Controlled multi-repetition sets
General strength and muscle65 to 85%Most programmed working sets
Heavy strength work85 to 95%Low repetitions with long rests
Test or competition single95 to 100%+Prepared lifters with safeguards

[5][6]

[5][6]

Accuracy and evidence quality

In young women, prediction equations were more accurate when fewer than ten repetitions were used. In older sedentary adults, errors remained exercise-specific and could still be large, even when correlations were high. Correlation shows that stronger people tend to receive higher estimates; it does not prove that each individual estimate is close. A 2024 study in trained older adults with osteopenia or osteoporosis found that exercise-specific equations using five to eight repetitions produced mean absolute differences around 4 to 7 percent.

A generic formula cannot promise the same precision across every lift and population.

[2][4][7]

Safety and special populations

Use safeties or competent spotters for lifts in which a failed repetition can trap the lifter. Stop for pain, dizziness, chest pressure, unusual breathlessness, or technique loss. Do not test during acute injury, illness, severe sleep loss, or intoxication.

A submaximal estimate still requires hard effort and is not risk-free. Beginners, youth, older adults, pregnant people, and anyone with cardiovascular, retinal, bone, or uncontrolled blood-pressure concerns should use qualified supervision and individualized clearance when appropriate. Youth resistance training can be safe when technique and supervision are sound, but calculator output should not drive unsupervised maximal attempts.

[5][8]

Testing decisions, failed repetitions, and edge cases

Choose a test load by working backward from recent training. If a lifter completed 75 kg for eight repetitions with two repetitions in reserve, 75 kg is too light for a valid eight-repetition maximum test on that day. After recovery, a somewhat heavier load should produce three to eight technically sound repetitions near the limit. Do not add the guessed repetitions in reserve to the completed count and assume the same equation remains accurate. Repetition capacity is nonlinear, and subjective reserve estimates become less reliable as fatigue rises.

Define a valid repetition before testing.

For a squat, specify depth, stance, footwear, bar position, and whether a belt is used. For bench press, specify the pause, grip, touch point, and whether the buttocks and feet must remain fixed. For deadlift, specify straps, bar type, and lockout. The calculated number only tracks strength when the standard stays stable. A shorter range of motion can raise the estimate without any increase in full-range strength. A failed repetition supplies little useful equation input and adds fatigue. If the final completed repetition was slow but met the standard, enter completed repetitions only. If a spotter touched the bar or the lifter bounced, shortened, or hit a safety pin, exclude that repetition. When uncertainty is high, use the lower estimate and preserve the written test notes.

Warm-up jumps should prepare without exhausting. One example before an estimated 100 kg squat maximum is five repetitions with the empty bar, five at 40 kg, three at 60 kg, one or two at 75 kg, then the selected test set after adequate rest. Exact jumps depend on experience and exercise. Older or less practiced lifters may need more rehearsal with small jumps, while strong lifters need enough rest to prevent warm-up fatigue. Daily readiness changes actual strength. Sleep loss, pain, dieting, unfamiliar equipment, time of day, and prior endurance work can shift performance. A percent program should permit adjustment. If the prescribed 80 percent load feels like a near maximum during warm-up, lower the day's working weight rather than using the calculator output as an obligation.

Use estimated 1RM trends with volume records. An estimate can rise because the lifter became better at high-repetition sets while true single-repetition strength changes less. Conversely, a low-repetition specialist may improve a heavy single without adding many repetitions at 70 percent. Testing with both a consistent submaximal set and occasional supervised heavy practice gives a fuller picture.

[1][2][4][6][7]

Limitations

The estimate depends on a near-maximal set, consistent range of motion, and the same implement. Fatigue resistance differs among people and muscle groups. Belts, wraps, lifting straps, pauses, touch-and-go repetitions, and machine geometry all change the result. Use the number as a range and track performance.

Direct competition standards, rehabilitation decisions, and clinical strength assessment require protocols beyond this calculator.

[1][2][7]

How it works

Epley: 1RM = weight × (1 + reps/30). Brzycki: weight × 36/(37 − reps). Best accuracy with 2 to 10 reps.

Frequently asked questions

  • Which 1RM formula is most accurate?Epley and Brzycki agree within 5% for most lifters using 3 to 8 rep sets. Average multiple formulas for best estimate.

Related calculators

References

  1. LeSuer et al.. The accuracy of prediction equations for estimating 1-RM performance
  2. Mayhew et al.. Accuracy of prediction equations in women before and after resistance training
  3. Brzycki. Strength Testing: Predicting a One-Rep Max from Reps-to-Fatigue
  4. Wood et al.. Accuracy of seven equations for older adults
  5. HHS. Physical Activity Guidelines for Americans, second edition
  6. ACSM. Progression models in resistance training for healthy adults
  7. Beia et al.. Developing repetition prediction equations for older adults
  8. Faigenbaum et al.. Resistance training among young athletes: safety and efficacy
Medical disclaimer: These calculators provide estimates for informational purposes only. They are not a substitute for professional medical advice, diagnosis, or treatment. Consult a healthcare provider before changing your diet or exercise program.