LCM for 60 and 500
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What's the Least Common Multiple (LCM) of 60 and 500?
Answer
LCM of 60 and 500 is
1,500
First common multiples: 1,500; 3,000; 4,500; …
1,500 is divisible by both: 1,500 ÷ 60 = 25; 1,500 ÷ 500 = 3 — and 25 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/60 by 25 and of y/500 by 3.
60 = 22 × 3 × 5
500 = 22 × 53
| Prime | 60 | 500 | Highest power |
|---|---|---|---|
| 2 | 22 | 22 | 22 |
| 3 | 3 | — | 3 |
| 5 | 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 = 22 × 3 × 53 = 1,500
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- 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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