LCM for 60 and 110
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What's the Least Common Multiple (LCM) of 60 and 110?
Answer
LCM of 60 and 110 is
660
First common multiples: 660; 1,320; 1,980; …
660 is divisible by both: 660 ÷ 60 = 11, 660 ÷ 110 = 6 — and 11 and 6 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/60 by 11 and of y/110 by 6.
60 = 22 × 3 × 5
110 = 2 × 5 × 11
| Prime | 60 | 110 | Highest power |
|---|---|---|---|
| 2 | 22 | 2 | 22 |
| 3 | 3 | — | 3 |
| 5 | 5 | 5 | 5 |
| 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 × 5 × 11 = 660
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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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