LCM for 3, 8 and 11
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What's the Least Common Multiple (LCM) of 3, 8 and 11?
Answer
LCM of 3, 8 and 11 is
264
First common multiples: 264, 528, 792, …
264 is divisible by all three: 264 ÷ 3 = 88, 264 ÷ 8 = 33, 264 ÷ 11 = 24 — and 88, 33 and 24 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 88 and of y/8 by 33 and of z/11 by 24.
3 — prime
8 = 23
11 — prime
| Prime | 3 | 8 | 11 | Highest power |
|---|---|---|---|---|
| 2 | — | 23 | — | 23 |
| 3 | 3 | — | — | 3 |
| 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 = 23 × 3 × 11 = 264
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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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