LCM for 4, 8 and 40

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What's the Least Common Multiple (LCM) of 4, 8 and 40?

Answer

LCM of 4, 8 and 40 is
40

First common multiples: 40, 80, 120, …

40 is divisible by all three: 40 ÷ 4 = 10, 40 ÷ 8 = 5, 40 ÷ 40 = 1 — and 10, 5 and 1 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 10 and of y/8 by 5.

4 = 22

8 = 23

40 = 23 × 5

Prime4840Highest power
222232323
5——55

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

LCM = 23 × 5 = 40

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LCM Table

1st2nd3rdLCM
4825200
4826104
4827216
482856
4829232
4830120
4831248
483232
4833264
4834136
4835280
483672
4837296
4838152
4839312
484040
4841328
4842168
4843344
484488
4845360
4846184
4847376
484848
4849392
4850200
4851408
4852104
4853424
4854216

FAQ

What's the Least Common Multiple (LCM) of 4, 8 and 40?

LCM of 4, 8 and 40 is 40

How to find the LCM of 4, 8 and 40 by prime factorization?

Take every prime that appears in 4, 8 and 40 to the highest power it reaches in any one of them and multiply: 2³ × 5 = 40.

Can you get the LCM of 4, 8 and 40 two numbers at a time?

Yes. The LCM of 4 and 8 is 8, and the LCM of 8 and 40 is 40 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 40 divisible by 4, 8 and 40?

Yes, and by definition it is the smallest positive integer that is: 40 ÷ 4, 40 ÷ 8 and 40 ÷ 40 all come out whole. Any other common multiple of 4, 8 and 40 is a multiple of 40.

See Also