LCM for 10, 15 and 18
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What's the Least Common Multiple (LCM) of 10, 15 and 18?
Answer
LCM of 10, 15 and 18 is
90
First common multiples: 90, 180, 270, …
90 is divisible by all three: 90 ÷ 10 = 9, 90 ÷ 15 = 6, 90 ÷ 18 = 5 — and 9, 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/10 by 9 and of y/15 by 6 and of z/18 by 5.
10 = 2 × 5
15 = 3 × 5
18 = 2 × 32
| Prime | 10 | 15 | 18 | Highest power |
|---|---|---|---|---|
| 2 | 2 | — | 2 | 2 |
| 3 | — | 3 | 32 | 32 |
| 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 = 2 × 32 × 5 = 90
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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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