What is the LCM of 10 and 330?

What's the Least Common Multiple (LCM) of 10 and 330?

Answer

LCM of 10 and 330 is

330

First common multiples: 330, 660, 990, …

As a common denominator: multiply the top and bottom of x/10 by 33.

10 divides 330 (330 ÷ 10 = 33), so the LCM is the larger number itself.

10 = 2 × 5

330 = 2 × 3 × 5 × 11

Prime	10	330	Highest power
2	2	2	2
3	—	3	3
5	5	5	5
11	—	11	11

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

LCM = 2 × 3 × 5 × 11 = 330

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