LCM for 10, 16 and 18

"Least Common Multiple of 3 Numbers" Calculator
Least Common Multiple of
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What's the Least Common Multiple (LCM) of 10, 16 and 18?

Answer

LCM of 10, 16 and 18 is
720

First common multiples: 720; 1,440; 2,160; …

720 is divisible by all three: 720 ÷ 10 = 72, 720 ÷ 16 = 45, 720 ÷ 18 = 40 — and 72, 45 and 40 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/10 by 72 and of y/16 by 45 and of z/18 by 40.

10 = 2 × 5

16 = 24

18 = 2 × 32

Prime101618Highest power
2224224
3——3232
55——5

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

LCM = 24 × 32 × 5 = 720

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LCM Table

1st2nd3rdLCM
31016240
4101680
5101680
61016240
71016560
8101680
91016720
10101680
101116880
101216240
1013161,040
101416560
101516240
10161680
1016171,360
101618720
1016191,520
10162080
1016211,680
101622880
1016231,840
101624240
101625400
1016261,040
1016272,160
101628560
1016292,320
101630240
1016312,480
101632160

FAQ

What's the Least Common Multiple (LCM) of 10, 16 and 18?

LCM of 10, 16 and 18 is 720

How to find the LCM of 10, 16 and 18 by prime factorization?

Take every prime that appears in 10, 16 and 18 to the highest power it reaches in any one of them and multiply: 2⁴ × 3² × 5 = 720.

Can you get the LCM of 10, 16 and 18 two numbers at a time?

Yes. The LCM of 10 and 16 is 80, and the LCM of 80 and 18 is 720 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 720 divisible by 10, 16 and 18?

Yes, and by definition it is the smallest positive integer that is: 720 ÷ 10, 720 ÷ 16 and 720 ÷ 18 all come out whole. Any other common multiple of 10, 16 and 18 is a multiple of 720.

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