LCM for 4, 7 and 11
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What's the Least Common Multiple (LCM) of 4, 7 and 11?
Answer
LCM of 4, 7 and 11 is
308
First common multiples: 308, 616, 924, …
308 is divisible by all three: 308 ÷ 4 = 77, 308 ÷ 7 = 44, 308 ÷ 11 = 28 — and 77, 44 and 28 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/4 by 77 and of y/7 by 44 and of z/11 by 28.
4 = 22
7 — prime
11 — prime
| Prime | 4 | 7 | 11 | Highest power |
|---|---|---|---|---|
| 2 | 22 | — | — | 22 |
| 7 | — | 7 | — | 7 |
| 11 | — | — | 11 | 11 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 7 × 11 = 308
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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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