What is the LCM of 10 and 150?

What's the Least Common Multiple (LCM) of 10 and 150?

Answer

LCM of 10 and 150 is

150

First common multiples: 150, 300, 450, …

As a common denominator: multiply the top and bottom of x/10 by 15.

10 divides 150 (150 ÷ 10 = 15), so the LCM is the larger number itself.

10 = 2 × 5

150 = 2 × 3 × 5²

Prime	10	150	Highest power
2	2	2	2
3	—	3	3
5	5	5²	5²

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

LCM = 2 × 3 × 5² = 150

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