LCM for 7, 14 and 16
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What's the Least Common Multiple (LCM) of 7, 14 and 16?
Answer
LCM of 7, 14 and 16 is
112
First common multiples: 112, 224, 336, …
112 is divisible by all three: 112 ÷ 7 = 16, 112 ÷ 14 = 8, 112 ÷ 16 = 7 — and 16, 8 and 7 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/7 by 16 and of y/14 by 8 and of z/16 by 7.
7 — prime
14 = 2 × 7
16 = 24
| Prime | 7 | 14 | 16 | Highest power |
|---|---|---|---|---|
| 2 | — | 2 | 24 | 24 |
| 7 | 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 = 24 × 7 = 112
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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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