LCM for 8, 40 and 64

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What's the Least Common Multiple (LCM) of 8, 40 and 64?

Answer

LCM of 8, 40 and 64 is
320

First common multiples: 320, 640, 960, …

320 is divisible by all three: 320 ÷ 8 = 40, 320 ÷ 40 = 8, 320 ÷ 64 = 5 — and 40, 8 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/8 by 40 and of y/40 by 8 and of z/64 by 5.

8 = 23

40 = 23 × 5

64 = 26

Prime84064Highest power
223232626
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 = 26 × 5 = 320

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LCM Table

1st2nd3rdLCM
840491,960
84050200
840512,040
84052520
840532,120
840541,080
84055440
84056280
840572,280
840581,160
840592,360
84060120
840612,440
840621,240
840632,520
84064320
84065520
840661,320
840672,680
84068680
840692,760
84070280
840712,840
84072360
840732,920
840741,480
84075600
84076760
840773,080
840781,560

FAQ

What's the Least Common Multiple (LCM) of 8, 40 and 64?

LCM of 8, 40 and 64 is 320

How to find the LCM of 8, 40 and 64 by prime factorization?

Take every prime that appears in 8, 40 and 64 to the highest power it reaches in any one of them and multiply: 2⁶ × 5 = 320.

Can you get the LCM of 8, 40 and 64 two numbers at a time?

Yes. The LCM of 8 and 40 is 40, and the LCM of 40 and 64 is 320 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 320 divisible by 8, 40 and 64?

Yes, and by definition it is the smallest positive integer that is: 320 ÷ 8, 320 ÷ 40 and 320 ÷ 64 all come out whole. Any other common multiple of 8, 40 and 64 is a multiple of 320.

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