LCM for 90 and 445
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What's the Least Common Multiple (LCM) of 90 and 445?
Answer
LCM of 90 and 445 is
8,010
First common multiples: 8,010; 16,020; 24,030; …
8,010 is divisible by both: 8,010 ÷ 90 = 89; 8,010 ÷ 445 = 18 — and 89 and 18 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/90 by 89 and of y/445 by 18.
90 = 2 × 32 × 5
445 = 5 × 89
| Prime | 90 | 445 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | 32 | — | 32 |
| 5 | 5 | 5 | 5 |
| 89 | — | 89 | 89 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 32 × 5 × 89 = 8,010
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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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