LCM for 3, 5 and 8
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What's the Least Common Multiple (LCM) of 3, 5 and 8?
Answer
LCM of 3, 5 and 8 is
120
First common multiples: 120, 240, 360, …
120 is divisible by all three: 120 ÷ 3 = 40, 120 ÷ 5 = 24, 120 ÷ 8 = 15 — and 40, 24 and 15 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 40 and of y/5 by 24 and of z/8 by 15.
3 — prime
5 — prime
8 = 23
| Prime | 3 | 5 | 8 | Highest power |
|---|---|---|---|---|
| 2 | — | — | 23 | 23 |
| 3 | 3 | — | — | 3 |
| 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 × 3 × 5 = 120
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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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