LCM for 6, 8 and 14
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What's the Least Common Multiple (LCM) of 6, 8 and 14?
Answer
LCM of 6, 8 and 14 is
168
First common multiples: 168, 336, 504, …
168 is divisible by all three: 168 ÷ 6 = 28, 168 ÷ 8 = 21, 168 ÷ 14 = 12 — and 28, 21 and 12 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 28 and of y/8 by 21 and of z/14 by 12.
6 = 2 × 3
8 = 23
14 = 2 × 7
| Prime | 6 | 8 | 14 | Highest power |
|---|---|---|---|---|
| 2 | 2 | 23 | 2 | 23 |
| 3 | 3 | — | — | 3 |
| 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 = 23 × 3 × 7 = 168
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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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