LCM for 20, 25 and 50

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What's the Least Common Multiple (LCM) of 20, 25 and 50?

Answer

LCM of 20, 25 and 50 is
100

First common multiples: 100, 200, 300, …

100 is divisible by all three: 100 ÷ 20 = 5, 100 ÷ 25 = 4, 100 ÷ 50 = 2 — and 5, 4 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/20 by 5 and of y/25 by 4 and of z/50 by 2.

20 = 22 × 5

25 = 52

50 = 2 × 52

Prime202550Highest power
222—222
55525252

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

LCM = 22 × 52 = 100

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LCM Table

1st2nd3rdLCM
202535700
202536900
2025373,700
2025381,900
2025393,900
202540200
2025414,100
2025422,100
2025434,300
2025441,100
202545900
2025462,300
2025474,700
2025481,200
2025494,900
202550100
2025515,100
2025521,300
2025535,300
2025542,700
2025551,100
2025561,400
2025575,700
2025582,900
2025595,900
202560300
2025616,100
2025623,100
2025636,300
2025641,600

FAQ

What's the Least Common Multiple (LCM) of 20, 25 and 50?

LCM of 20, 25 and 50 is 100

How to find the LCM of 20, 25 and 50 by prime factorization?

Take every prime that appears in 20, 25 and 50 to the highest power it reaches in any one of them and multiply: 2² × 5² = 100.

Can you get the LCM of 20, 25 and 50 two numbers at a time?

Yes. The LCM of 20 and 25 is 100, and the LCM of 100 and 50 is 100 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 100 divisible by 20, 25 and 50?

Yes, and by definition it is the smallest positive integer that is: 100 ÷ 20, 100 ÷ 25 and 100 ÷ 50 all come out whole. Any other common multiple of 20, 25 and 50 is a multiple of 100.

See Also