What is the LCM of 10 and 280?

What's the Least Common Multiple (LCM) of 10 and 280?

Answer

LCM of 10 and 280 is

280

First common multiples: 280, 560, 840, …

As a common denominator: multiply the top and bottom of x/10 by 28.

10 divides 280 (280 ÷ 10 = 28), so the LCM is the larger number itself.

10 = 2 × 5

280 = 2³ × 5 × 7

Prime	10	280	Highest power
2	2	2³	2³
5	5	5	5
7	—	7	7

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

LCM = 2³ × 5 × 7 = 280

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