LCM for 24 and 1,000
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What's the Least Common Multiple (LCM) of 24 and 1,000?
Answer
LCM of 24 and 1,000 is
3,000
First common multiples: 3,000; 6,000; 9,000; …
3,000 is divisible by both: 3,000 ÷ 24 = 125; 3,000 ÷ 1,000 = 3 — and 125 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/24 by 125 and of y/1,000 by 3.
24 = 23 × 3
1,000 = 23 × 53
| Prime | 24 | 1,000 | Highest power |
|---|---|---|---|
| 2 | 23 | 23 | 23 |
| 3 | 3 | — | 3 |
| 5 | — | 53 | 53 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 3 × 53 = 3,000
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See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999
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