LCM for 12, 24 and 32
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What's the Least Common Multiple (LCM) of 12, 24 and 32?
Answer
LCM of 12, 24 and 32 is
96
First common multiples: 96, 192, 288, …
96 is divisible by all three: 96 ÷ 12 = 8, 96 ÷ 24 = 4, 96 ÷ 32 = 3 — and 8, 4 and 3 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/12 by 8 and of y/24 by 4 and of z/32 by 3.
12 = 22 × 3
24 = 23 × 3
32 = 25
| Prime | 12 | 24 | 32 | Highest power |
|---|---|---|---|---|
| 2 | 22 | 23 | 25 | 25 |
| 3 | 3 | 3 | — | 3 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 25 × 3 = 96
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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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