LCM for 4, 16 and 20

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What's the Least Common Multiple (LCM) of 4, 16 and 20?

Answer

LCM of 4, 16 and 20 is
80

First common multiples: 80, 160, 240, …

80 is divisible by all three: 80 ÷ 4 = 20, 80 ÷ 16 = 5, 80 ÷ 20 = 4 — and 20, 5 and 4 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 20 and of y/16 by 5 and of z/20 by 4.

4 = 22

16 = 24

20 = 22 × 5

Prime41620Highest power
222242224
5——55

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

LCM = 24 × 5 = 80

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LCM Table

1st2nd3rdLCM
451680
461648
4716112
481616
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

FAQ

What's the Least Common Multiple (LCM) of 4, 16 and 20?

LCM of 4, 16 and 20 is 80

How to find the LCM of 4, 16 and 20 by prime factorization?

Take every prime that appears in 4, 16 and 20 to the highest power it reaches in any one of them and multiply: 2⁴ × 5 = 80.

Can you get the LCM of 4, 16 and 20 two numbers at a time?

Yes. The LCM of 4 and 16 is 16, and the LCM of 16 and 20 is 80 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 80 divisible by 4, 16 and 20?

Yes, and by definition it is the smallest positive integer that is: 80 ÷ 4, 80 ÷ 16 and 80 ÷ 20 all come out whole. Any other common multiple of 4, 16 and 20 is a multiple of 80.

See Also