LCM for 25, 30 and 50

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What's the Least Common Multiple (LCM) of 25, 30 and 50?

Answer

LCM of 25, 30 and 50 is
150

First common multiples: 150, 300, 450, …

150 is divisible by all three: 150 ÷ 25 = 6, 150 ÷ 30 = 5, 150 ÷ 50 = 3 — and 6, 5 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/25 by 6 and of y/30 by 5 and of z/50 by 3.

25 = 52

30 = 2 × 3 × 5

50 = 2 × 52

Prime253050Highest power
2—222
3—3—3
55255252

— = 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
2530351,050
253036900
2530375,550
2530382,850
2530391,950
253040600
2530416,150
2530421,050
2530436,450
2530443,300
253045450
2530463,450
2530477,050
2530481,200
2530497,350
253050150
2530512,550
2530523,900
2530537,950
2530541,350
2530551,650
2530564,200
2530572,850
2530584,350
2530598,850
253060300
2530619,150
2530624,650
2530633,150
2530644,800

FAQ

What's the Least Common Multiple (LCM) of 25, 30 and 50?

LCM of 25, 30 and 50 is 150

How to find the LCM of 25, 30 and 50 by prime factorization?

Take every prime that appears in 25, 30 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 25, 30 and 50 two numbers at a time?

Yes. The LCM of 25 and 30 is 150, and the LCM of 150 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 25, 30 and 50?

Yes, and by definition it is the smallest positive integer that is: 150 ÷ 25, 150 ÷ 30 and 150 ÷ 50 all come out whole. Any other common multiple of 25, 30 and 50 is a multiple of 150.

See Also