What is the LCM of 16, 40 and 56?

What's the Least Common Multiple (LCM) of 16, 40 and 56?

Answer

LCM of 16, 40 and 56 is

560

First common multiples: 560; 1,120; 1,680; …

560 is divisible by all three: 560 ÷ 16 = 35, 560 ÷ 40 = 14, 560 ÷ 56 = 10 — and 35, 14 and 10 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/16 by 35 and of y/40 by 14 and of z/56 by 10.

16 = 2⁴

40 = 2³ × 5

56 = 2³ × 7

Prime	16	40	56	Highest power
2	2⁴	2³	2³	2⁴
5	—	5	—	5
7	—	—	7	7

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

LCM = 2⁴ × 5 × 7 = 560

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
16	40	41	3,280
16	40	42	1,680
16	40	43	3,440
16	40	44	880
16	40	45	720
16	40	46	1,840
16	40	47	3,760
16	40	48	240
16	40	49	3,920
16	40	50	400
16	40	51	4,080
16	40	52	1,040
16	40	53	4,240
16	40	54	2,160
16	40	55	880
16	40	56	560
16	40	57	4,560
16	40	58	2,320
16	40	59	4,720
16	40	60	240
16	40	61	4,880
16	40	62	2,480
16	40	63	5,040
16	40	64	320
16	40	65	1,040
16	40	66	2,640
16	40	67	5,360
16	40	68	1,360
16	40	69	5,520
16	40	70	560

LCM for 16, 40 and 56

What's the Least Common Multiple (LCM) of 16, 40 and 56?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 16, 40 and 56?

How to find the LCM of 16, 40 and 56 by prime factorization?

Can you get the LCM of 16, 40 and 56 two numbers at a time?

Is 560 divisible by 16, 40 and 56?

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