LCM for 90 and 270
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What's the Least Common Multiple (LCM) of 90 and 270?
Answer
LCM of 90 and 270 is
270
First common multiples: 270, 540, 810, …
As a common denominator: multiply the top and bottom of x/90 by 3.
90 divides 270 (270 ÷ 90 = 3), so the LCM is the larger number itself.
90 = 2 × 32 × 5
270 = 2 × 33 × 5
| Prime | 90 | 270 | Highest power |
|---|---|---|---|
| 2 | 2 | 2 | 2 |
| 3 | 32 | 33 | 33 |
| 5 | 5 | 5 | 5 |
LCM = 2 × 33 × 5 = 270
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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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