LCM for 3, 7 and 8
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What's the Least Common Multiple (LCM) of 3, 7 and 8?
Answer
LCM of 3, 7 and 8 is
168
First common multiples: 168, 336, 504, …
168 is divisible by all three: 168 ÷ 3 = 56, 168 ÷ 7 = 24, 168 ÷ 8 = 21 — and 56, 24 and 21 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/3 by 56 and of y/7 by 24 and of z/8 by 21.
3 — prime
7 — prime
8 = 23
| Prime | 3 | 7 | 8 | Highest power |
|---|---|---|---|---|
| 2 | — | — | 23 | 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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