What is the LCM of 6, 15 and 40?

What's the Least Common Multiple (LCM) of 6, 15 and 40?

Answer

LCM of 6, 15 and 40 is

120

First common multiples: 120, 240, 360, …

120 is divisible by all three: 120 ÷ 6 = 20, 120 ÷ 15 = 8, 120 ÷ 40 = 3 — and 20, 8 and 3 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 20 and of y/15 by 8 and of z/40 by 3.

6 = 2 × 3

15 = 3 × 5

40 = 2³ × 5

Prime	6	15	40	Highest power
2	2	—	2³	2³
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 = 2³ × 3 × 5 = 120

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LCM Table

1st	2nd	3rd	LCM
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
6	15	40	120
6	15	41	1,230
6	15	42	210
6	15	43	1,290
6	15	44	660
6	15	45	90
6	15	46	690
6	15	47	1,410
6	15	48	240
6	15	49	1,470
6	15	50	150
6	15	51	510
6	15	52	780
6	15	53	1,590
6	15	54	270

LCM for 6, 15 and 40

What's the Least Common Multiple (LCM) of 6, 15 and 40?

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Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 6, 15 and 40?

How to find the LCM of 6, 15 and 40 by prime factorization?

Can you get the LCM of 6, 15 and 40 two numbers at a time?

Is 120 divisible by 6, 15 and 40?

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