LCM for 10, 16 and 32

"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 32?

Answer

LCM of 10, 16 and 32 is
160

First common multiples: 160, 320, 480, …

160 is divisible by all three: 160 ÷ 10 = 16, 160 ÷ 16 = 10, 160 ÷ 32 = 5 — and 16, 10 and 5 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 16 and of y/16 by 10 and of z/32 by 5.

10 = 2 × 5

16 = 24

32 = 25

Prime101632Highest power
22242525
55——5

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

LCM = 25 × 5 = 160

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LCM Table

1st2nd3rdLCM
1016171,360
101618720
1016191,520
10162080
1016211,680
101622880
1016231,840
101624240
101625400
1016261,040
1016272,160
101628560
1016292,320
101630240
1016312,480
101632160
1016332,640
1016341,360
101635560
101636720
1016372,960
1016381,520
1016393,120
10164080
1016413,280
1016421,680
1016433,440
101644880
101645720
1016461,840

FAQ

What's the Least Common Multiple (LCM) of 10, 16 and 32?

LCM of 10, 16 and 32 is 160

How to find the LCM of 10, 16 and 32 by prime factorization?

Take every prime that appears in 10, 16 and 32 to the highest power it reaches in any one of them and multiply: 2⁵ × 5 = 160.

Can you get the LCM of 10, 16 and 32 two numbers at a time?

Yes. The LCM of 10 and 16 is 80, and the LCM of 80 and 32 is 160 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 160 divisible by 10, 16 and 32?

Yes, and by definition it is the smallest positive integer that is: 160 ÷ 10, 160 ÷ 16 and 160 ÷ 32 all come out whole. Any other common multiple of 10, 16 and 32 is a multiple of 160.

See Also