One Rep Max (1RM) Calculator Formula

Understand the math behind the one rep max (1rm) calculator. Each variable explained with a worked example.

Formulas Used

Estimated 1RM

estimated_1rm = round(one_rm)

90% 1RM

ninety_pct = round(one_rm * 0.9)

80% 1RM

eighty_pct = round(one_rm * 0.8)

70% 1RM

seventy_pct = round(one_rm * 0.7)

Variables

VariableDescriptionDefault
weight_liftedWeight Lifted(lbs)185
reps_performedReps Performed5
one_rmDerived value= weight_lifted * (1 + reps_performed / 30)calculated

How It Works

How One Rep Max Is Estimated

The Epley formula estimates the maximum weight you can lift for a single repetition.

Formula

1RM = Weight x (1 + Reps / 30)

This formula is most accurate for rep ranges of 2-10. For higher reps, accuracy decreases because muscular endurance becomes a larger factor.

Why 1RM Matters

Knowing your 1RM allows you to program training at specific percentages, ensuring appropriate intensity for strength, hypertrophy, or endurance goals.

Worked Example

You bench press 185 lbs for 5 reps.

weight_lifted = 185reps_performed = 5
  1. 011RM = 185 * (1 + 5/30)
  2. 021RM = 185 * 1.1667
  3. 031RM = 215.8, rounded to 216 lbs
  4. 0490% = 216 * 0.9 = 194 lbs
  5. 0580% = 216 * 0.8 = 173 lbs

Ready to run the numbers?

Open One Rep Max (1RM) Calculator