LCM for 10 and 310

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What's the Least Common Multiple (LCM) of 10 and 310?

Answer

LCM of 10 and 310 is
310

First common multiples: 310, 620, 930, …

As a common denominator: multiply the top and bottom of x/10 by 31.

10 divides 310 (310 ÷ 10 = 31), so the LCM is the larger number itself.

10 = 2 × 5

310 = 2 × 5 × 31

Prime10310Highest power
2222
5555
31—3131

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

LCM = 2 × 5 × 31 = 310

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FAQ

What's the Least Common Multiple (LCM) of 10 and 310?

LCM of 10 and 310 is 310

How to find the LCM of 10 and 310 using prime factorization?

To find the LCM of 10 and 310, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 310.

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 310: LCM = 310, GCF = 10.