LCM for 8, 9 and 11
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What's the Least Common Multiple (LCM) of 8, 9 and 11?
Answer
LCM of 8, 9 and 11 is
792
First common multiples: 792; 1,584; 2,376; …
792 is divisible by all three: 792 ÷ 8 = 99, 792 ÷ 9 = 88, 792 ÷ 11 = 72 — and 99, 88 and 72 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/8 by 99 and of y/9 by 88 and of z/11 by 72.
8 = 23
9 = 32
11 — prime
| Prime | 8 | 9 | 11 | Highest power |
|---|---|---|---|---|
| 2 | 23 | — | — | 23 |
| 3 | — | 32 | — | 32 |
| 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 × 32 × 11 = 792
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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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