Common Denominator Calculator — Find LCD for Fractions
Find the least common denominator (LCD) for fractions. Convert each to equivalent form using LCM step-by-step calculations and scaling factors.
Common Denominator
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Converted Fractions
[{"numerator":6,"denominator":12,"originalNumerator":1,"originalDenominator":2,"multiplier":6},{"numerator":4,"denominator":12,"originalNumerator":1,"originalDenominator":3,"multiplier":4},{"numerator":3,"denominator":12,"originalNumerator":1,"originalDenominator":4,"multiplier":3}]
Work Steps
Step 1: Denominators: [2, 3, 4] | Step 2: LCM(2, 3) = 2 × 3 / GCD(2, 3) = 2 × 3 / 1 = 6 | Step 3: LCM(6, 4) = 6 × 4 / GCD(6, 4) = 6 × 4 / 2 = 12 | Result: LCD = LCM of all denominators = 12
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Least Common Denominator (LCD)
12
Fraction Comparison (Common Denominator)
Converted Fractions
Each fraction is scaled by multiplying numerator and denominator by (LCD / original denominator).
Step-by-Step LCM Computation
LCD Formula
LCD = LCM(denominator₁, denominator₂, ..., denominatorₙ)
LCM(a, b) = (a × b) / GCD(a, b) — computed using the Euclidean algorithm for GCD.
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