LCM for 90 and 440
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What's the Least Common Multiple (LCM) of 90 and 440?
Answer
LCM of 90 and 440 is
3,960
First common multiples: 3,960; 7,920; 11,880; …
3,960 is divisible by both: 3,960 ÷ 90 = 44; 3,960 ÷ 440 = 9 — and 44 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 44 and of y/440 by 9.
90 = 2 × 32 × 5
440 = 23 × 5 × 11
| Prime | 90 | 440 | Highest power |
|---|---|---|---|
| 2 | 2 | 23 | 23 |
| 3 | 32 | — | 32 |
| 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 = 23 × 32 × 5 × 11 = 3,960
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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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