LCM for 8, 24 and 48
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What's the Least Common Multiple (LCM) of 8, 24 and 48?
Answer
LCM of 8, 24 and 48 is
48
First common multiples: 48, 96, 144, …
48 is divisible by all three: 48 ÷ 8 = 6, 48 ÷ 24 = 2, 48 ÷ 48 = 1 — and 6, 2 and 1 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 6 and of y/24 by 2.
8 = 23
24 = 23 × 3
48 = 24 × 3
| Prime | 8 | 24 | 48 | Highest power |
|---|---|---|---|---|
| 2 | 23 | 23 | 24 | 24 |
| 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 = 24 × 3 = 48
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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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