LCM for 60 and 465
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What's the Least Common Multiple (LCM) of 60 and 465?
Answer
LCM of 60 and 465 is
1,860
First common multiples: 1,860; 3,720; 5,580; …
1,860 is divisible by both: 1,860 ÷ 60 = 31; 1,860 ÷ 465 = 4 — and 31 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/60 by 31 and of y/465 by 4.
60 = 22 × 3 × 5
465 = 3 × 5 × 31
| Prime | 60 | 465 | Highest power |
|---|---|---|---|
| 2 | 22 | — | 22 |
| 3 | 3 | 3 | 3 |
| 5 | 5 | 5 | 5 |
| 31 | — | 31 | 31 |
— = 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 × 31 = 1,860
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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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