כיצד לחשב את LCM
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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.
מדריך שלב אחר שלב
- 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
קלט
LCM(4, 6)
תוצאה
12
Smallest number divisible by both 4 and 6
קלט
LCM(12, 18, 24)
תוצאה
72
Used to add 1/12 + 1/18 + 1/24
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