LCM for 5, 8 and 20

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What's the Least Common Multiple (LCM) of 5, 8 and 20?

Answer

LCM of 5, 8 and 20 is
40

First common multiples: 40, 80, 120, …

40 is divisible by all three: 40 ÷ 5 = 8, 40 ÷ 8 = 5, 40 ÷ 20 = 2 — and 8, 5 and 2 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/5 by 8 and of y/8 by 5 and of z/20 by 2.

5 — prime

8 = 23

20 = 22 × 5

Prime5820Highest power
2—232223
55—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
55840
568120
578280
58840
589360
581040
5811440
5812120
5813520
5814280
5815120
581680
5817680
5818360
5819760
582040
5821840
5822440
5823920
5824120
5825200
5826520
58271,080
5828280
58291,160
5830120
58311,240
5832160
58331,320
5834680

FAQ

What's the Least Common Multiple (LCM) of 5, 8 and 20?

LCM of 5, 8 and 20 is 40

How to find the LCM of 5, 8 and 20 by prime factorization?

Take every prime that appears in 5, 8 and 20 to the highest power it reaches in any one of them and multiply: 2³ × 5 = 40.

Can you get the LCM of 5, 8 and 20 two numbers at a time?

Yes. The LCM of 5 and 8 is 40, and the LCM of 40 and 20 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 5, 8 and 20?

Yes, and by definition it is the smallest positive integer that is: 40 ÷ 5, 40 ÷ 8 and 40 ÷ 20 all come out whole. Any other common multiple of 5, 8 and 20 is a multiple of 40.

See Also