LCM for 3, 5 and 25

"Least Common Multiple of 3 Numbers" Calculator
Least Common Multiple of
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What's the Least Common Multiple (LCM) of 3, 5 and 25?

Answer

LCM of 3, 5 and 25 is
75

First common multiples: 75, 150, 225, …

75 is divisible by all three: 75 ÷ 3 = 25, 75 ÷ 5 = 15, 75 ÷ 25 = 3 — and 25, 15 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/3 by 25 and of y/5 by 15 and of z/25 by 3.

3 — prime

5 — prime

25 = 52

Prime3525Highest power
33——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 = 3 × 52 = 75

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LCM Table

1st2nd3rdLCM
351030
3511165
351260
3513195
3514210
351515
3516240
3517255
351890
3519285
352060
3521105
3522330
3523345
3524120
352575
3526390
3527135
3528420
3529435
353030
3531465
3532480
3533165
3534510
3535105
3536180
3537555
3538570
3539195

FAQ

What's the Least Common Multiple (LCM) of 3, 5 and 25?

LCM of 3, 5 and 25 is 75

How to find the LCM of 3, 5 and 25 by prime factorization?

Take every prime that appears in 3, 5 and 25 to the highest power it reaches in any one of them and multiply: 3 × 5² = 75.

Can you get the LCM of 3, 5 and 25 two numbers at a time?

Yes. The LCM of 3 and 5 is 15, and the LCM of 15 and 25 is 75 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 75 divisible by 3, 5 and 25?

Yes, and by definition it is the smallest positive integer that is: 75 ÷ 3, 75 ÷ 5 and 75 ÷ 25 all come out whole. Any other common multiple of 3, 5 and 25 is a multiple of 75.

See Also