LCM for 40, 50 and 80

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What's the Least Common Multiple (LCM) of 40, 50 and 80?

Answer

LCM of 40, 50 and 80 is
400

First common multiples: 400; 800; 1,200; …

400 is divisible by all three: 400 ÷ 40 = 10, 400 ÷ 50 = 8, 400 ÷ 80 = 5 — and 10, 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/40 by 10 and of y/50 by 8 and of z/80 by 5.

40 = 23 × 5

50 = 2 × 52

80 = 24 × 5

Prime405080Highest power
22322424
5552552

LCM = 24 × 52 = 400

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LCM Table

1st2nd3rdLCM
4050652,600
4050666,600
40506713,400
4050683,400
40506913,800
4050701,400
40507114,200
4050721,800
40507314,600
4050747,400
405075600
4050763,800
40507715,400
4050787,800
40507915,800
405080400
40508116,200
4050828,200
40508316,600
4050844,200
4050853,400
4050868,600
40508717,400
4050882,200
40508917,800
4050901,800
40509118,200
4050924,600
40509318,600
4050949,400

FAQ

What's the Least Common Multiple (LCM) of 40, 50 and 80?

LCM of 40, 50 and 80 is 400

How to find the LCM of 40, 50 and 80 by prime factorization?

Take every prime that appears in 40, 50 and 80 to the highest power it reaches in any one of them and multiply: 2⁴ × 5² = 400.

Can you get the LCM of 40, 50 and 80 two numbers at a time?

Yes. The LCM of 40 and 50 is 200, and the LCM of 200 and 80 is 400 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 400 divisible by 40, 50 and 80?

Yes, and by definition it is the smallest positive integer that is: 400 ÷ 40, 400 ÷ 50 and 400 ÷ 80 all come out whole. Any other common multiple of 40, 50 and 80 is a multiple of 400.

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