LCM for 15, 25 and 50

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What's the Least Common Multiple (LCM) of 15, 25 and 50?

Answer

LCM of 15, 25 and 50 is
150

First common multiples: 150, 300, 450, …

150 is divisible by all three: 150 ÷ 15 = 10, 150 ÷ 25 = 6, 150 ÷ 50 = 3 — and 10, 6 and 3 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/15 by 10 and of y/25 by 6 and of z/50 by 3.

15 = 3 × 5

25 = 52

50 = 2 × 52

Prime152550Highest power
2——22
33——3
55525252

— = 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
152535525
152536900
1525372,775
1525382,850
152539975
152540600
1525413,075
1525421,050
1525433,225
1525443,300
152545225
1525463,450
1525473,525
1525481,200
1525493,675
152550150
1525511,275
1525523,900
1525533,975
1525541,350
152555825
1525564,200
1525571,425
1525584,350
1525594,425
152560300
1525614,575
1525624,650
1525631,575
1525644,800

FAQ

What's the Least Common Multiple (LCM) of 15, 25 and 50?

LCM of 15, 25 and 50 is 150

How to find the LCM of 15, 25 and 50 by prime factorization?

Take every prime that appears in 15, 25 and 50 to the highest power it reaches in any one of them and multiply: 2 × 3 × 5² = 150.

Can you get the LCM of 15, 25 and 50 two numbers at a time?

Yes. The LCM of 15 and 25 is 75, and the LCM of 75 and 50 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 15, 25 and 50?

Yes, and by definition it is the smallest positive integer that is: 150 ÷ 15, 150 ÷ 25 and 150 ÷ 50 all come out whole. Any other common multiple of 15, 25 and 50 is a multiple of 150.

See Also