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The Least Common Multiple (LCM) is the smallest positive integer divisible by two or more given numbers. Used for adding fractions with different denominators, scheduling problems, and finding repeating patterns.
Stapsgewijze handleiding
- 1LCM(a,b) = |a × b| / GCF(a,b)
- 2Prime factorization: take all prime factors with highest powers
- 3LCM(4,6) = 12 → 4=2², 6=2×3, LCM = 2²×3 = 12
- 4LCM of coprime numbers (GCF=1) = their product
Uitgewerkte voorbeelden
Invoer
LCM(4, 6)
Resultaat
12
Smallest number divisible by both 4 and 6
Invoer
LCM(12, 18, 24)
Resultaat
72
Used to add 1/12 + 1/18 + 1/24
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