LCM for 4, 15 and 18

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What's the Least Common Multiple (LCM) of 4, 15 and 18?

Answer

LCM of 4, 15 and 18 is
180

First common multiples: 180, 360, 540, …

180 is divisible by all three: 180 ÷ 4 = 45, 180 ÷ 15 = 12, 180 ÷ 18 = 10 — and 45, 12 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/4 by 45 and of y/15 by 12 and of z/18 by 10.

4 = 22

15 = 3 × 5

18 = 2 × 32

Prime41518Highest power
222—222
3—33232
5—5—5

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

LCM = 22 × 32 × 5 = 180

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LCM Table

1st2nd3rdLCM
341560
441560
451560
461560
4715420
4815120
4915180
4101560
41115660
4121560
41315780
41415420
4151560
41516240
415171,020
41518180
415191,140
4152060
41521420
41522660
415231,380
41524120
41525300
41526780
41527540
41528420
415291,740
4153060
415311,860
41532480

FAQ

What's the Least Common Multiple (LCM) of 4, 15 and 18?

LCM of 4, 15 and 18 is 180

How to find the LCM of 4, 15 and 18 by prime factorization?

Take every prime that appears in 4, 15 and 18 to the highest power it reaches in any one of them and multiply: 2² × 3² × 5 = 180.

Can you get the LCM of 4, 15 and 18 two numbers at a time?

Yes. The LCM of 4 and 15 is 60, and the LCM of 60 and 18 is 180 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 180 divisible by 4, 15 and 18?

Yes, and by definition it is the smallest positive integer that is: 180 ÷ 4, 180 ÷ 15 and 180 ÷ 18 all come out whole. Any other common multiple of 4, 15 and 18 is a multiple of 180.

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