LCM for 5, 25 and 30

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What's the Least Common Multiple (LCM) of 5, 25 and 30?

Answer

LCM of 5, 25 and 30 is
150

First common multiples: 150, 300, 450, …

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

5 — prime

25 = 52

30 = 2 × 3 × 5

Prime52530Highest power
2——22
3——33
5552552

— = 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
5152575
51625400
51725425
51825450
51925475
52025100
52125525
52225550
52325575
52425600
5252525
52526650
52527675
52528700
52529725
52530150
52531775
52532800
52533825
52534850
52535175
52536900
52537925
52538950
52539975
52540200
525411,025
525421,050
525431,075
525441,100

FAQ

What's the Least Common Multiple (LCM) of 5, 25 and 30?

LCM of 5, 25 and 30 is 150

How to find the LCM of 5, 25 and 30 by prime factorization?

Take every prime that appears in 5, 25 and 30 to the highest power it reaches in any one of them and multiply: 2 × 3 × 5² = 150.

Can you get the LCM of 5, 25 and 30 two numbers at a time?

Yes. The LCM of 5 and 25 is 25, and the LCM of 25 and 30 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 5, 25 and 30?

Yes, and by definition it is the smallest positive integer that is: 150 ÷ 5, 150 ÷ 25 and 150 ÷ 30 all come out whole. Any other common multiple of 5, 25 and 30 is a multiple of 150.

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