LCM for 5, 15 and 30

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What's the Least Common Multiple (LCM) of 5, 15 and 30?

Answer

LCM of 5, 15 and 30 is
30

First common multiples: 30, 60, 90, …

30 is divisible by all three: 30 ÷ 5 = 6, 30 ÷ 15 = 2, 30 ÷ 30 = 1 — and 6, 2 and 1 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 6 and of y/15 by 2.

5 — prime

15 = 3 × 5

30 = 2 × 3 × 5

Prime51530Highest power
2——22
3—333
55555

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

LCM = 2 × 3 × 5 = 30

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LCM Table

1st2nd3rdLCM
5151515
51516240
51517255
5151890
51519285
5152060
51521105
51522330
51523345
51524120
5152575
51526390
51527135
51528420
51529435
5153030
51531465
51532480
51533165
51534510
51535105
51536180
51537555
51538570
51539195
51540120
51541615
51542210
51543645
51544660

FAQ

What's the Least Common Multiple (LCM) of 5, 15 and 30?

LCM of 5, 15 and 30 is 30

How to find the LCM of 5, 15 and 30 by prime factorization?

Take every prime that appears in 5, 15 and 30 to the highest power it reaches in any one of them and multiply: 2 × 3 × 5 = 30.

Can you get the LCM of 5, 15 and 30 two numbers at a time?

Yes. The LCM of 5 and 15 is 15, and the LCM of 15 and 30 is 30 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 30 divisible by 5, 15 and 30?

Yes, and by definition it is the smallest positive integer that is: 30 ÷ 5, 30 ÷ 15 and 30 ÷ 30 all come out whole. Any other common multiple of 5, 15 and 30 is a multiple of 30.

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