LCM for 60 and 455
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What's the Least Common Multiple (LCM) of 60 and 455?
Answer
LCM of 60 and 455 is
5,460
First common multiples: 5,460; 10,920; 16,380; …
5,460 is divisible by both: 5,460 ÷ 60 = 91; 5,460 ÷ 455 = 12 — and 91 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 91 and of y/455 by 12.
60 = 22 × 3 × 5
455 = 5 × 7 × 13
| Prime | 60 | 455 | Highest power |
|---|---|---|---|
| 2 | 22 | — | 22 |
| 3 | 3 | — | 3 |
| 5 | 5 | 5 | 5 |
| 7 | — | 7 | 7 |
| 13 | — | 13 | 13 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 3 × 5 × 7 × 13 = 5,460
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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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