LCM for 4, 16 and 24

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What's the Least Common Multiple (LCM) of 4, 16 and 24?

Answer

LCM of 4, 16 and 24 is
48

First common multiples: 48, 96, 144, …

48 is divisible by all three: 48 ÷ 4 = 12, 48 ÷ 16 = 3, 48 ÷ 24 = 2 — and 12, 3 and 2 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/4 by 12 and of y/16 by 3 and of z/24 by 2.

4 = 22

16 = 24

24 = 23 × 3

Prime41624Highest power
222242324
3——33

— = 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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LCM Table

1st2nd3rdLCM
4916144
4101680
41116176
4121648
41316208
41416112
41516240
4161616
41617272
41618144
41619304
4162080
41621336
41622176
41623368
4162448
41625400
41626208
41627432
41628112
41629464
41630240
41631496
4163232
41633528
41634272
41635560
41636144
41637592
41638304

FAQ

What's the Least Common Multiple (LCM) of 4, 16 and 24?

LCM of 4, 16 and 24 is 48

How to find the LCM of 4, 16 and 24 by prime factorization?

Take every prime that appears in 4, 16 and 24 to the highest power it reaches in any one of them and multiply: 2⁴ × 3 = 48.

Can you get the LCM of 4, 16 and 24 two numbers at a time?

Yes. The LCM of 4 and 16 is 16, and the LCM of 16 and 24 is 48 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 48 divisible by 4, 16 and 24?

Yes, and by definition it is the smallest positive integer that is: 48 ÷ 4, 48 ÷ 16 and 48 ÷ 24 all come out whole. Any other common multiple of 4, 16 and 24 is a multiple of 48.

See Also