LCM for 10 and 50

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What's the Least Common Multiple (LCM) of 10 and 50?

Answer

LCM of 10 and 50 is
50

First common multiples: 50, 100, 150, …

As a common denominator: multiply the top and bottom of x/10 by 5.

10 divides 50 (50 ÷ 10 = 5), so the LCM is the larger number itself.

10 = 2 × 5

50 = 2 × 52

Prime1050Highest power
2222
555252

LCM = 2 × 52 = 50

See Also

FAQ

What's the Least Common Multiple (LCM) of 10 and 50?

LCM of 10 and 50 is 50

How to find the LCM of 10 and 50 using prime factorization?

To find the LCM of 10 and 50, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 50.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 10 and 50: LCM = 50, GCF = 10.