What is the LCM of 16, 48 and 64?

What's the Least Common Multiple (LCM) of 16, 48 and 64?

Answer

LCM of 16, 48 and 64 is

192

First common multiples: 192, 384, 576, …

192 is divisible by all three: 192 ÷ 16 = 12, 192 ÷ 48 = 4, 192 ÷ 64 = 3 — and 12, 4 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/16 by 12 and of y/48 by 4 and of z/64 by 3.

16 = 2⁴

48 = 2⁴ × 3

64 = 2⁶

Prime	16	48	64	Highest power
2	2⁴	2⁴	2⁶	2⁶
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 = 2⁶ × 3 = 192

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
16	48	49	2,352
16	48	50	1,200
16	48	51	816
16	48	52	624
16	48	53	2,544
16	48	54	432
16	48	55	2,640
16	48	56	336
16	48	57	912
16	48	58	1,392
16	48	59	2,832
16	48	60	240
16	48	61	2,928
16	48	62	1,488
16	48	63	1,008
16	48	64	192
16	48	65	3,120
16	48	66	528
16	48	67	3,216
16	48	68	816
16	48	69	1,104
16	48	70	1,680
16	48	71	3,408
16	48	72	144
16	48	73	3,504
16	48	74	1,776
16	48	75	1,200
16	48	76	912
16	48	77	3,696
16	48	78	624

LCM for 16, 48 and 64

What's the Least Common Multiple (LCM) of 16, 48 and 64?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 16, 48 and 64?

How to find the LCM of 16, 48 and 64 by prime factorization?

Can you get the LCM of 16, 48 and 64 two numbers at a time?

Is 192 divisible by 16, 48 and 64?

See Also