Jak vypočítat LCM
Co je LCM?
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.
Průvodce krok za krokem
- 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
Worked Examples
Vstup
LCM(4, 6)
Výsledek
12
Smallest number divisible by both 4 and 6
Vstup
LCM(12, 18, 24)
Výsledek
72
Used to add 1/12 + 1/18 + 1/24
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