LCM for 60 and 320
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What's the Least Common Multiple (LCM) of 60 and 320?
Answer
LCM of 60 and 320 is
960
First common multiples: 960; 1,920; 2,880; …
960 is divisible by both: 960 ÷ 60 = 16, 960 ÷ 320 = 3 — and 16 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 16 and of y/320 by 3.
60 = 22 × 3 × 5
320 = 26 × 5
| Prime | 60 | 320 | Highest power |
|---|---|---|---|
| 2 | 22 | 26 | 26 |
| 3 | 3 | — | 3 |
| 5 | 5 | 5 | 5 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 26 × 3 × 5 = 960
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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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