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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.
Trinn-for-trinn guide
- 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
Løste eksempler
Inndata
LCM(4, 6)
Resultat
12
Smallest number divisible by both 4 and 6
Inndata
LCM(12, 18, 24)
Resultat
72
Used to add 1/12 + 1/18 + 1/24
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