What is the LCM of 10, 12 and 15?

What's the Least Common Multiple (LCM) of 10, 12 and 15?

Answer

LCM of 10, 12 and 15 is

60

First common multiples: 60, 120, 180, …

60 is divisible by all three: 60 ÷ 10 = 6, 60 ÷ 12 = 5, 60 ÷ 15 = 4 — and 6, 5 and 4 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/10 by 6 and of y/12 by 5 and of z/15 by 4.

10 = 2 × 5

12 = 2² × 3

15 = 3 × 5

Prime	10	12	15	Highest power
2	2	2²	—	2²
3	—	3	3	3
5	5	—	5	5

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

LCM = 2² × 3 × 5 = 60

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
1	10	12	60
2	10	12	60
3	10	12	60
4	10	12	60
5	10	12	60
6	10	12	60
7	10	12	420
8	10	12	120
9	10	12	180
10	10	12	60
10	11	12	660
10	12	12	60
10	12	13	780
10	12	14	420
10	12	15	60
10	12	16	240
10	12	17	1,020
10	12	18	180
10	12	19	1,140
10	12	20	60
10	12	21	420
10	12	22	660
10	12	23	1,380
10	12	24	120
10	12	25	300
10	12	26	780
10	12	27	540
10	12	28	420
10	12	29	1,740
10	12	30	60

LCM for 10, 12 and 15

What's the Least Common Multiple (LCM) of 10, 12 and 15?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 10, 12 and 15?

How to find the LCM of 10, 12 and 15 by prime factorization?

Can you get the LCM of 10, 12 and 15 two numbers at a time?

Is 60 divisible by 10, 12 and 15?

See Also