LCM for 20, 40 and 50

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What's the Least Common Multiple (LCM) of 20, 40 and 50?

Answer

LCM of 20, 40 and 50 is
200

First common multiples: 200, 400, 600, …

200 is divisible by all three: 200 ÷ 20 = 10, 200 ÷ 40 = 5, 200 ÷ 50 = 4 — and 10, 5 and 4 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/20 by 10 and of y/40 by 5 and of z/50 by 4.

20 = 22 × 5

40 = 23 × 5

50 = 2 × 52

Prime204050Highest power
22223223
5555252

LCM = 23 × 52 = 200

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LCM Table

1st2nd3rdLCM
203540280
203640360
2037401,480
203840760
2039401,560
20404040
2040411,640
204042840
2040431,720
204044440
204045360
204046920
2040471,880
204048240
2040491,960
204050200
2040512,040
204052520
2040532,120
2040541,080
204055440
204056280
2040572,280
2040581,160
2040592,360
204060120
2040612,440
2040621,240
2040632,520
204064320

FAQ

What's the Least Common Multiple (LCM) of 20, 40 and 50?

LCM of 20, 40 and 50 is 200

How to find the LCM of 20, 40 and 50 by prime factorization?

Take every prime that appears in 20, 40 and 50 to the highest power it reaches in any one of them and multiply: 2³ × 5² = 200.

Can you get the LCM of 20, 40 and 50 two numbers at a time?

Yes. The LCM of 20 and 40 is 40, and the LCM of 40 and 50 is 200 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 200 divisible by 20, 40 and 50?

Yes, and by definition it is the smallest positive integer that is: 200 ÷ 20, 200 ÷ 40 and 200 ÷ 50 all come out whole. Any other common multiple of 20, 40 and 50 is a multiple of 200.

See Also