LCM for 3, 5 and 15
"Least Common Multiple of 3 Numbers" Calculator
What's the Least Common Multiple (LCM) of 3, 5 and 15?
Answer
LCM of 3, 5 and 15 is
15
First common multiples: 15, 30, 45, …
15 is divisible by all three: 15 ÷ 3 = 5, 15 ÷ 5 = 3, 15 ÷ 15 = 1 — and 5, 3 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/3 by 5 and of y/5 by 3.
3 — prime
5 — prime
15 = 3 × 5
| Prime | 3 | 5 | 15 | Highest power |
|---|---|---|---|---|
| 3 | 3 | — | 3 | 3 |
| 5 | — | 5 | 5 | 5 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 3 × 5 = 15
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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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