LCM for 4, 10 and 25

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What's the Least Common Multiple (LCM) of 4, 10 and 25?

Answer

LCM of 4, 10 and 25 is
100

First common multiples: 100, 200, 300, …

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

4 = 22

10 = 2 × 5

25 = 52

Prime41025Highest power
2222—22
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
4101020
41011220
4101260
41013260
41014140
4101560
4101680
41017340
41018180
41019380
4102020
41021420
41022220
41023460
41024120
41025100
41026260
41027540
41028140
41029580
4103060
41031620
41032160
41033660
41034340
41035140
41036180
41037740
41038380
41039780

FAQ

What's the Least Common Multiple (LCM) of 4, 10 and 25?

LCM of 4, 10 and 25 is 100

How to find the LCM of 4, 10 and 25 by prime factorization?

Take every prime that appears in 4, 10 and 25 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 25 two numbers at a time?

Yes. The LCM of 4 and 10 is 20, and the LCM of 20 and 25 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 25?

Yes, and by definition it is the smallest positive integer that is: 100 ÷ 4, 100 ÷ 10 and 100 ÷ 25 all come out whole. Any other common multiple of 4, 10 and 25 is a multiple of 100.

See Also