LCM for 2, 7 and 8
"Least Common Multiple of 3 Numbers" Calculator
What's the Least Common Multiple (LCM) of 2, 7 and 8?
Answer
LCM of 2, 7 and 8 is
56
First common multiples: 56, 112, 168, …
56 is divisible by all three: 56 ÷ 2 = 28, 56 ÷ 7 = 8, 56 ÷ 8 = 7 — and 28, 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/2 by 28 and of y/7 by 8 and of z/8 by 7.
2 — prime
7 — prime
8 = 23
| Prime | 2 | 7 | 8 | Highest power |
|---|---|---|---|---|
| 2 | 2 | — | 23 | 23 |
| 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 × 7 = 56
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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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