What is the LCM of 10, 15 and 30?

What's the Least Common Multiple (LCM) of 10, 15 and 30?

Answer

LCM of 10, 15 and 30 is

30

First common multiples: 30, 60, 90, …

30 is divisible by all three: 30 ÷ 10 = 3, 30 ÷ 15 = 2, 30 ÷ 30 = 1 — and 3, 2 and 1 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 3 and of y/15 by 2.

10 = 2 × 5

15 = 3 × 5

30 = 2 × 3 × 5

Prime	10	15	30	Highest power
2	2	—	2	2
3	—	3	3	3
5	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 = 2 × 3 × 5 = 30

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
10	15	15	30
10	15	16	240
10	15	17	510
10	15	18	90
10	15	19	570
10	15	20	60
10	15	21	210
10	15	22	330
10	15	23	690
10	15	24	120
10	15	25	150
10	15	26	390
10	15	27	270
10	15	28	420
10	15	29	870
10	15	30	30
10	15	31	930
10	15	32	480
10	15	33	330
10	15	34	510
10	15	35	210
10	15	36	180
10	15	37	1,110
10	15	38	570
10	15	39	390
10	15	40	120
10	15	41	1,230
10	15	42	210
10	15	43	1,290
10	15	44	660

LCM for 10, 15 and 30

What's the Least Common Multiple (LCM) of 10, 15 and 30?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 10, 15 and 30?

How to find the LCM of 10, 15 and 30 by prime factorization?

Can you get the LCM of 10, 15 and 30 two numbers at a time?

Is 30 divisible by 10, 15 and 30?

See Also