LCM for 50, 100 and 500

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What's the Least Common Multiple (LCM) of 50, 100 and 500?

Answer

LCM of 50, 100 and 500 is
500

First common multiples: 500; 1,000; 1,500; …

500 is divisible by all three: 500 ÷ 50 = 10, 500 ÷ 100 = 5, 500 ÷ 500 = 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/50 by 10 and of y/100 by 5.

50 = 2 × 52

100 = 22 × 52

500 = 22 × 53

Prime50100500Highest power
22222222
552525353

LCM = 22 × 53 = 500

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LCM Table

1st2nd3rdLCM
501004859,700
5010048624,300
5010048748,700
5010048812,200
5010048948,900
501004904,900
5010049149,100
5010049212,300
5010049349,300
5010049424,700
501004959,900
5010049612,400
5010049749,700
5010049824,900
5010049949,900
50100500500
5010050150,100
5010050225,100
5010050350,300
5010050412,600
5010050510,100
5010050625,300
5010050750,700
5010050812,700
5010050950,900
501005105,100
5010051151,100
5010051212,800
5010051351,300
5010051425,700

FAQ

What's the Least Common Multiple (LCM) of 50, 100 and 500?

LCM of 50, 100 and 500 is 500

How to find the LCM of 50, 100 and 500 by prime factorization?

Take every prime that appears in 50, 100 and 500 to the highest power it reaches in any one of them and multiply: 2² × 5³ = 500.

Can you get the LCM of 50, 100 and 500 two numbers at a time?

Yes. The LCM of 50 and 100 is 100, and the LCM of 100 and 500 is 500 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 500 divisible by 50, 100 and 500?

Yes, and by definition it is the smallest positive integer that is: 500 ÷ 50, 500 ÷ 100 and 500 ÷ 500 all come out whole. Any other common multiple of 50, 100 and 500 is a multiple of 500.

See Also