LCM for 5, 15 and 25
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What's the Least Common Multiple (LCM) of 5, 15 and 25?
Answer
LCM of 5, 15 and 25 is
75
First common multiples: 75, 150, 225, …
75 is divisible by all three: 75 ÷ 5 = 15, 75 ÷ 15 = 5, 75 ÷ 25 = 3 — and 15, 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/5 by 15 and of y/15 by 5 and of z/25 by 3.
5 — prime
15 = 3 × 5
25 = 52
| Prime | 5 | 15 | 25 | Highest power |
|---|---|---|---|---|
| 3 | — | 3 | — | 3 |
| 5 | 5 | 5 | 52 | 52 |
— = 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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See Also
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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