LCM for 4, 5 and 6
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What's the Least Common Multiple (LCM) of 4, 5 and 6?
Answer
LCM of 4, 5 and 6 is
60
First common multiples: 60, 120, 180, …
60 is divisible by all three: 60 ÷ 4 = 15, 60 ÷ 5 = 12, 60 ÷ 6 = 10 — and 15, 12 and 10 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/4 by 15 and of y/5 by 12 and of z/6 by 10.
4 = 22
5 — prime
6 = 2 × 3
| Prime | 4 | 5 | 6 | Highest power |
|---|---|---|---|---|
| 2 | 22 | — | 2 | 22 |
| 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 = 22 × 3 × 5 = 60
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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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