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Sex:

Height is needed for Boer/James/Hume methods.

If provided, we’ll compute LBM directly via BF% and ignore formula selection.

Method (when BF% not given):

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How this calculator works

  • Body-fat route: If %BF is known, LBM = Weight × (1 − %BF/100).
  • Boer (1984): Male: LBM = 0.407·W + 0.267·H − 19.2; Female: LBM = 0.252·W + 0.473·H − 48.3 (W in kg, H in cm).
  • James (1976): Male: LBM = 1.1·W − 128·(W²/H²); Female: LBM = 1.07·W − 148·(W²/H²).
  • Hume (1966): Male: LBM = 0.32810·W + 0.33929·H − 29.5336; Female: LBM = 0.29569·W + 0.41813·H − 43.2933.
  • Outputs: We return LBM (kg), fat mass (kg), and LBM%.

Formula & Equation Used

From body-fat %: LBM = W × (1 − BF%/100)

Boer (1984): Male LBM = 0.407W + 0.267H − 19.2; Female LBM = 0.252W + 0.473H − 48.3

James (1976): Male LBM = 1.1W − 128(W²/H²); Female LBM = 1.07W − 148(W²/H²)

Hume (1966): Male LBM = 0.32810W + 0.33929H − 29.5336; Female LBM = 0.29569W + 0.41813H − 43.2933

Example Problem & Step-by-Step Solution

Example 1 — 75 kg, 178 cm, 18% BF (Male)

LBM = 75 × (1 − 0.18) = 61.5 kg; Fat mass = 13.5 kg; LBM% = 82%.

Example 2 — Male 190 lb, 70 in (Boer)

Convert: 190 lb → 86.18 kg; 70 in → 177.80 cm.
Boer (male): LBM = 0.407·W + 0.267·H − 19.2
= 0.407·86.18 + 0.267·177.80 − 19.2
= 35.08 + 47.53 − 19.20 = 63.35 kg.
Fat mass = 86.18 − 63.35 = 22.83 kg.
LBM% = (63.35 / 86.18) × 100 ≈ 73.51%.

Example 3 — Female 140 lb, 64 in (Hume)

Convert: 140 lb → 63.50 kg; 64 in → 162.56 cm.
Hume (female): LBM = 0.29569·W + 0.41813·H − 43.2933
= 0.29569·63.50 + 0.41813·162.56 − 43.2933
= 18.77 + 67.97 − 43.29 = 43.46 kg.
Fat mass = 63.50 − 43.46 = 20.05 kg.
LBM% = (43.46 / 63.50) × 100 ≈ 68.43%.

Frequently Asked Questions

Q: Which method should I choose?

If you have a reliable body-fat %, use it. Otherwise, Boer is widely used clinically; James and Hume are older but still common.

Q: What units do I enter?

Enter weight in kg or lb, height in cm or in. We convert internally to kg and cm.

Q: Is LBM the same as fat-free mass?

They’re often used interchangeably; small definitional differences exist in research contexts.