🏋️ 1RM Calculator

Weight Unit

⚠️ Never attempt a true 1RM without an experienced spotter. Estimated 1RMs are most accurate for reps in the 2–6 range. Accuracy decreases above 10 reps.

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kg - Estimated 1RM (Epley Formula)

📊 Training Percentage Chart

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Reps % of 1RM Weight Zone Goal
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🏆 Strength Standards

Compare your estimated 1RM to population strength standards (bodyweight multiples). Select your exercise above.

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📐 1RM Formulas Explained

Epley Formula (Most Common)

1RM = w × (1 + r/30) w = weight lifted r = reps performed Example: 100 kg × 5 reps 1RM = 100 × (1 + 5/30) = 100 × 1.167 = 116.7 kg Best for: General use, most commonly referenced. Tends to slightly overestimate at high reps.

Brzycki Formula

1RM = w × (36 / (37 - r)) Example: 100 kg × 5 reps 1RM = 100 × (36 / (37 - 5)) = 100 × (36 / 32) = 112.5 kg Best for: Lower rep ranges (1–10). Slightly more conservative than Epley.

Lander Formula

1RM = (100 × w) / (101.3 - 2.67123 × r) Example: 100 kg × 5 reps 1RM = 10000 / (101.3 - 13.356) = 10000 / 87.944 = 113.7 kg

Other Formulas

Lombardi: 1RM = w × r^0.10 Mayhew: 1RM = (100 × w) / (52.2 + 41.9 × e^(-0.055 × r)) O'Conner: 1RM = w × (1 + 0.025 × r) Wathan: 1RM = (100 × w) / (48.8 + 53.8 × e^(-0.075 × r)) Best practice: Use the AVERAGE of all formulas for the most reliable estimate, especially when reps are in the 3-8 range.

Training Zones by % of 1RM

95–100%: Max Strength (1–2 reps) - true 1RM zone 90–95%: Strength (2–3 reps) 85–90%: Strength/Power (3–5 reps) 80–85%: Strength/Hypertrophy (5–6 reps) 70–80%: Hypertrophy (8–12 reps) ← MUSCLE GAIN 60–70%: Hypertrophy/Endurance (12–15 reps) 50–60%: Muscular Endurance (15–20 reps) Below 50%: Warm-up / technique work

❓ Frequently Asked Questions

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One Rep Max Calculator - 1RM Estimation, Training Percentages & Strength Standards

Your one rep max is the foundation of percentage-based strength programming. Without it, you're guessing at working weights. With it, you can precisely calculate exactly how heavy to lift for every set in every session - whether you're training for strength, size, or power. This calculator estimates your 1RM from any submaximal effort and then maps out your entire training range from that number.

Quick example: You bench press 80 kg for 5 reps. Epley formula: 80 × (1 + 5÷30) = 80 × 1.167 = 93.3 kg estimated 1RM. Training percentages: 80% = 74.7 kg (hypertrophy working weight). 85% = 79.4 kg (strength). 90% = 84 kg (near-max singles). The calculator computes all 7 formulas and averages them.

The 7 1RM Formulas - How They Differ

Seven validated formulas are used in this calculator. They were developed from different research populations and use slightly different mathematical relationships between reps, weight, and estimated 1RM:

Most Widely Used

  • Epley (1985): 1RM = w × (1 + r÷30). Most commonly referenced. Good for 2–10 reps.
  • Brzycki (1993): 1RM = w × 36÷(37−r). Strong accuracy at 2–10 reps. Gives slightly lower estimates than Epley.
  • Lander (1985): 1RM = 100×w÷(101.3 − 2.67123×r). Good balance across rep ranges.
  • Lombardi (1989): 1RM = w × r^0.10. Unique power-based formula.

Specialised Formulas

  • Mayhew et al. (1992): 1RM = 100×w÷(52.2 + 41.9×e^(−0.055×r)). Developed from bench press research.
  • O'Conner et al. (1989): 1RM = w×(1 + 0.025×r). Conservative formula giving lower estimates.
  • Wathan (1994): 1RM = 100×w÷(48.8 + 53.8×e^(−0.075×r)). Similar to Mayhew.
  • The averaged result across all 7 is the most reliable single estimate.

Training Zones by Goal - How to Use Your 1RM

Once you know your 1RM, use these percentage ranges to set working weights for every training goal:

  • Strength (1–5 reps at 80–95% 1RM): Develops maximal force production. Neural adaptations dominate. High CNS demand - needs adequate rest (3–5 minutes between sets). Core of powerlifting programming (5/3/1, Wendler, Texas Method).
  • Hypertrophy (6–12 reps at 65–80% 1RM): Maximises muscle growth through metabolic stress and mechanical tension. The "bodybuilding range." Most evidence supports this zone for mass gain. Shorter rest (1–2 minutes) increases metabolic stimulus.
  • Power/Olympic lifting (1–3 reps at 50–70% 1RM with maximal speed): Lower load, maximum bar speed. Develops explosive force. Cleans, snatches, jump squats.
  • Muscular endurance (15+ reps at 50–65% 1RM): Builds local muscular endurance and cardiovascular capacity. High rep ranges. Sports conditioning and circuit training.

Why Not Just Test Your 1RM Directly?

Direct 1RM testing is used by competitive powerlifters and Olympic weightlifters, but for most gym-goers the risks often outweigh the benefits:

  • Injury risk: Maximum attempts demand perfect form at maximum load - any technical breakdown under a true 1RM can cause significant injury. This is particularly true for the spine and shoulders.
  • CNS fatigue: True maximal efforts are extremely taxing on the central nervous system. A single 1RM test disrupts training for 2–3 days. Submaximal estimation avoids this cost.
  • Accuracy issues: A "true" 1RM on any given day is influenced by sleep, nutrition, warm-up quality, and psychological state. Multiple submaximal estimates averaged over weeks are often more reliable as a training baseline than a single maximum attempt.

When to test directly: when you want a verified competitive number, when you've been training systematically for at least 6 months, and with a spotter present and a thorough warm-up protocol. For programming purposes, an estimated 1RM from a clean 3–5 rep set is entirely sufficient.