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Как да изчислим LCM

Какво е 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.

Ръководство стъпка по стъпка

  1. 1LCM(a,b) = |a × b| / GCF(a,b)
  2. 2Prime factorization: take all prime factors with highest powers
  3. 3LCM(4,6) = 12 → 4=2², 6=2×3, LCM = 2²×3 = 12
  4. 4LCM of coprime numbers (GCF=1) = their product

Worked Examples

Вход
LCM(4, 6)
Резултат
12
Smallest number divisible by both 4 and 6
Вход
LCM(12, 18, 24)
Резултат
72
Used to add 1/12 + 1/18 + 1/24

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