What is the LCM of 16, 24 and 48?

What's the Least Common Multiple (LCM) of 16, 24 and 48?

Answer

LCM of 16, 24 and 48 is

48

First common multiples: 48, 96, 144, …

48 is divisible by all three: 48 ÷ 16 = 3, 48 ÷ 24 = 2, 48 ÷ 48 = 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/16 by 3 and of y/24 by 2.

16 = 2⁴

24 = 2³ × 3

48 = 2⁴ × 3

Prime	16	24	48	Highest power
2	2⁴	2³	2⁴	2⁴
3	—	3	3	3

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

LCM = 2⁴ × 3 = 48

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Related Calculations

LCM Table

1st	2nd	3rd	LCM
16	24	33	528
16	24	34	816
16	24	35	1,680
16	24	36	144
16	24	37	1,776
16	24	38	912
16	24	39	624
16	24	40	240
16	24	41	1,968
16	24	42	336
16	24	43	2,064
16	24	44	528
16	24	45	720
16	24	46	1,104
16	24	47	2,256
16	24	48	48
16	24	49	2,352
16	24	50	1,200
16	24	51	816
16	24	52	624
16	24	53	2,544
16	24	54	432
16	24	55	2,640
16	24	56	336
16	24	57	912
16	24	58	1,392
16	24	59	2,832
16	24	60	240
16	24	61	2,928
16	24	62	1,488

LCM for 16, 24 and 48

What's the Least Common Multiple (LCM) of 16, 24 and 48?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 16, 24 and 48?

How to find the LCM of 16, 24 and 48 by prime factorization?

Can you get the LCM of 16, 24 and 48 two numbers at a time?

Is 48 divisible by 16, 24 and 48?

See Also