LCM for 60 and 275
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What's the Least Common Multiple (LCM) of 60 and 275?
Answer
LCM of 60 and 275 is
3,300
First common multiples: 3,300; 6,600; 9,900; …
3,300 is divisible by both: 3,300 ÷ 60 = 55; 3,300 ÷ 275 = 12 — and 55 and 12 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/60 by 55 and of y/275 by 12.
60 = 22 × 3 × 5
275 = 52 × 11
| Prime | 60 | 275 | Highest power |
|---|---|---|---|
| 2 | 22 | — | 22 |
| 3 | 3 | — | 3 |
| 5 | 5 | 52 | 52 |
| 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 = 22 × 3 × 52 × 11 = 3,300
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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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