LCM for 90 and 280
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What's the Least Common Multiple (LCM) of 90 and 280?
Answer
LCM of 90 and 280 is
2,520
First common multiples: 2,520; 5,040; 7,560; …
2,520 is divisible by both: 2,520 ÷ 90 = 28; 2,520 ÷ 280 = 9 — and 28 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/90 by 28 and of y/280 by 9.
90 = 2 × 32 × 5
280 = 23 × 5 × 7
| Prime | 90 | 280 | Highest power |
|---|---|---|---|
| 2 | 2 | 23 | 23 |
| 3 | 32 | — | 32 |
| 5 | 5 | 5 | 5 |
| 7 | — | 7 | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 32 × 5 × 7 = 2,520
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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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