LCM for 4, 10 and 50

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What's the Least Common Multiple (LCM) of 4, 10 and 50?

Answer

LCM of 4, 10 and 50 is
100

First common multiples: 100, 200, 300, …

100 is divisible by all three: 100 ÷ 4 = 25, 100 ÷ 10 = 10, 100 ÷ 50 = 2 — and 25, 10 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/4 by 25 and of y/10 by 10 and of z/50 by 2.

4 = 22

10 = 2 × 5

50 = 2 × 52

Prime41050Highest power
2222222
5—55252

— = 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
41035140
41036180
41037740
41038380
41039780
4104040
41041820
41042420
41043860
41044220
41045180
41046460
41047940
41048240
41049980
41050100
410511,020
41052260
410531,060
41054540
41055220
41056280
410571,140
41058580
410591,180
4106060
410611,220
41062620
410631,260
41064320

FAQ

What's the Least Common Multiple (LCM) of 4, 10 and 50?

LCM of 4, 10 and 50 is 100

How to find the LCM of 4, 10 and 50 by prime factorization?

Take every prime that appears in 4, 10 and 50 to the highest power it reaches in any one of them and multiply: 2² × 5² = 100.

Can you get the LCM of 4, 10 and 50 two numbers at a time?

Yes. The LCM of 4 and 10 is 20, and the LCM of 20 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 4, 10 and 50?

Yes, and by definition it is the smallest positive integer that is: 100 ÷ 4, 100 ÷ 10 and 100 ÷ 50 all come out whole. Any other common multiple of 4, 10 and 50 is a multiple of 100.

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