LCM for 5, 8 and 9
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What's the Least Common Multiple (LCM) of 5, 8 and 9?
Answer
LCM of 5, 8 and 9 is
360
First common multiples: 360; 720; 1,080; …
360 is divisible by all three: 360 ÷ 5 = 72, 360 ÷ 8 = 45, 360 ÷ 9 = 40 — and 72, 45 and 40 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 72 and of y/8 by 45 and of z/9 by 40.
5 — prime
8 = 23
9 = 32
| Prime | 5 | 8 | 9 | Highest power |
|---|---|---|---|---|
| 2 | — | 23 | — | 23 |
| 3 | — | — | 32 | 32 |
| 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 = 23 × 32 × 5 = 360
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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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