LCM for 6, 15 and 25

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What's the Least Common Multiple (LCM) of 6, 15 and 25?

Answer

LCM of 6, 15 and 25 is
150

First common multiples: 150, 300, 450, …

150 is divisible by all three: 150 ÷ 6 = 25, 150 ÷ 15 = 10, 150 ÷ 25 = 6 — and 25, 10 and 6 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/6 by 25 and of y/15 by 10 and of z/25 by 6.

6 = 2 × 3

15 = 3 × 5

25 = 52

Prime61525Highest power
22——2
333—3
5—55252

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

LCM = 2 × 3 × 52 = 150

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LCM Table

1st2nd3rdLCM
6101530
61115330
6121560
61315390
61415210
6151530
61516240
61517510
6151890
61519570
6152060
61521210
61522330
61523690
61524120
61525150
61526390
61527270
61528420
61529870
6153030
61531930
61532480
61533330
61534510
61535210
61536180
615371,110
61538570
61539390

FAQ

What's the Least Common Multiple (LCM) of 6, 15 and 25?

LCM of 6, 15 and 25 is 150

How to find the LCM of 6, 15 and 25 by prime factorization?

Take every prime that appears in 6, 15 and 25 to the highest power it reaches in any one of them and multiply: 2 × 3 × 5² = 150.

Can you get the LCM of 6, 15 and 25 two numbers at a time?

Yes. The LCM of 6 and 15 is 30, and the LCM of 30 and 25 is 150 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 150 divisible by 6, 15 and 25?

Yes, and by definition it is the smallest positive integer that is: 150 ÷ 6, 150 ÷ 15 and 150 ÷ 25 all come out whole. Any other common multiple of 6, 15 and 25 is a multiple of 150.

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