What is the LCM of 10 and 460?

What's the Least Common Multiple (LCM) of 10 and 460?

Answer

LCM of 10 and 460 is

460

First common multiples: 460; 920; 1,380; …

As a common denominator: multiply the top and bottom of x/10 by 46.

10 divides 460 (460 ÷ 10 = 46), so the LCM is the larger number itself.

10 = 2 × 5

460 = 2² × 5 × 23

Prime	10	460	Highest power
2	2	2²	2²
5	5	5	5
23	—	23	23

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

LCM = 2² × 5 × 23 = 460

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