What is the LCM of 6, 15 and 25?

What's the Least Common Multiple (LCM) of 6, 15 and 25?

Answer

LCM of 6, 15 and 25 is

150

First common multiples: 150, 300, 450, …

150 is divisible by all three: 150 ÷ 6 = 25, 150 ÷ 15 = 10, 150 ÷ 25 = 6 — and 25, 10 and 6 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/6 by 25 and of y/15 by 10 and of z/25 by 6.

6 = 2 × 3

15 = 3 × 5

25 = 5²

Prime	6	15	25	Highest power
2	2	—	—	2
3	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

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
6	10	15	30
6	11	15	330
6	12	15	60
6	13	15	390
6	14	15	210
6	15	15	30
6	15	16	240
6	15	17	510
6	15	18	90
6	15	19	570
6	15	20	60
6	15	21	210
6	15	22	330
6	15	23	690
6	15	24	120
6	15	25	150
6	15	26	390
6	15	27	270
6	15	28	420
6	15	29	870
6	15	30	30
6	15	31	930
6	15	32	480
6	15	33	330
6	15	34	510
6	15	35	210
6	15	36	180
6	15	37	1,110
6	15	38	570
6	15	39	390

LCM for 6, 15 and 25

What's the Least Common Multiple (LCM) of 6, 15 and 25?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 6, 15 and 25?

How to find the LCM of 6, 15 and 25 by prime factorization?

Can you get the LCM of 6, 15 and 25 two numbers at a time?

Is 150 divisible by 6, 15 and 25?

See Also