LCM for 90 and 360
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What's the Least Common Multiple (LCM) of 90 and 360?
Answer
LCM of 90 and 360 is
360
First common multiples: 360; 720; 1,080; …
As a common denominator: multiply the top and bottom of x/90 by 4.
90 divides 360 (360 ÷ 90 = 4), so the LCM is the larger number itself.
90 = 2 × 32 × 5
360 = 23 × 32 × 5
| Prime | 90 | 360 | Highest power |
|---|---|---|---|
| 2 | 2 | 23 | 23 |
| 3 | 32 | 32 | 32 |
| 5 | 5 | 5 | 5 |
LCM = 23 × 32 × 5 = 360
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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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