LCM for 3, 7 and 11
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What's the Least Common Multiple (LCM) of 3, 7 and 11?
Answer
LCM of 3, 7 and 11 is
231
First common multiples: 231, 462, 693, …
231 is divisible by all three: 231 ÷ 3 = 77, 231 ÷ 7 = 33, 231 ÷ 11 = 21 — and 77, 33 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 77 and of y/7 by 33 and of z/11 by 21.
3 — prime
7 — prime
11 — prime
| Prime | 3 | 7 | 11 | Highest power |
|---|---|---|---|---|
| 3 | 3 | — | — | 3 |
| 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 = 3 × 7 × 11 = 231
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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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