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