LCM for 10 and 215

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What's the Least Common Multiple (LCM) of 10 and 215?

Answer

LCM of 10 and 215 is
430

First common multiples: 430; 860; 1,290; …

430 is divisible by both: 430 ÷ 10 = 43, 430 ÷ 215 = 2 — and 43 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/10 by 43 and of y/215 by 2.

10 = 2 × 5

215 = 5 × 43

Prime10215Highest power
22—2
5555
43—4343

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2 × 5 × 43 = 430

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FAQ

What's the Least Common Multiple (LCM) of 10 and 215?

LCM of 10 and 215 is 430

How to find the LCM of 10 and 215 using prime factorization?

To find the LCM of 10 and 215, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 430.

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 215: LCM = 430, GCF = 5.