What is the LCM of 10 and 390?

What's the Least Common Multiple (LCM) of 10 and 390?

Answer

LCM of 10 and 390 is

390

First common multiples: 390; 780; 1,170; …

As a common denominator: multiply the top and bottom of x/10 by 39.

10 divides 390 (390 ÷ 10 = 39), so the LCM is the larger number itself.

10 = 2 × 5

390 = 2 × 3 × 5 × 13

Prime	10	390	Highest power
2	2	2	2
3	—	3	3
5	5	5	5
13	—	13	13

— = 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 × 13 = 390

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