LCM for 10, 20 and 25

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What's the Least Common Multiple (LCM) of 10, 20 and 25?

Answer

LCM of 10, 20 and 25 is
100

First common multiples: 100, 200, 300, …

100 is divisible by all three: 100 ÷ 10 = 10, 100 ÷ 20 = 5, 100 ÷ 25 = 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/10 by 10 and of y/20 by 5 and of z/25 by 4.

10 = 2 × 5

20 = 22 × 5

25 = 52

Prime102025Highest power
2222—22
5555252

— = 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
10102020
101120220
10122060
101320260
101420140
10152060
10162080
101720340
101820180
101920380
10202020
102021420
102022220
102023460
102024120
102025100
102026260
102027540
102028140
102029580
10203060
102031620
102032160
102033660
102034340
102035140
102036180
102037740
102038380
102039780

FAQ

What's the Least Common Multiple (LCM) of 10, 20 and 25?

LCM of 10, 20 and 25 is 100

How to find the LCM of 10, 20 and 25 by prime factorization?

Take every prime that appears in 10, 20 and 25 to the highest power it reaches in any one of them and multiply: 2² × 5² = 100.

Can you get the LCM of 10, 20 and 25 two numbers at a time?

Yes. The LCM of 10 and 20 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 10, 20 and 25?

Yes, and by definition it is the smallest positive integer that is: 100 ÷ 10, 100 ÷ 20 and 100 ÷ 25 all come out whole. Any other common multiple of 10, 20 and 25 is a multiple of 100.

See Also