LCM for 12, 14 and 18
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What's the Least Common Multiple (LCM) of 12, 14 and 18?
Answer
LCM of 12, 14 and 18 is
252
First common multiples: 252, 504, 756, …
252 is divisible by all three: 252 ÷ 12 = 21, 252 ÷ 14 = 18, 252 ÷ 18 = 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/12 by 21 and of y/14 by 18 and of z/18 by 14.
12 = 22 × 3
14 = 2 × 7
18 = 2 × 32
| Prime | 12 | 14 | 18 | Highest power |
|---|---|---|---|---|
| 2 | 22 | 2 | 2 | 22 |
| 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 = 22 × 32 × 7 = 252
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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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