LCM for 6, 7 and 9
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What's the Least Common Multiple (LCM) of 6, 7 and 9?
Answer
LCM of 6, 7 and 9 is
126
First common multiples: 126, 252, 378, …
126 is divisible by all three: 126 ÷ 6 = 21, 126 ÷ 7 = 18, 126 ÷ 9 = 14 — and 21, 18 and 14 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/6 by 21 and of y/7 by 18 and of z/9 by 14.
6 = 2 × 3
7 — prime
9 = 32
| Prime | 6 | 7 | 9 | Highest power |
|---|---|---|---|---|
| 2 | 2 | — | — | 2 |
| 3 | 3 | — | 32 | 32 |
| 7 | — | 7 | — | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 32 × 7 = 126
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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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