LCM for 90 and 205
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What's the Least Common Multiple (LCM) of 90 and 205?
Answer
LCM of 90 and 205 is
3,690
First common multiples: 3,690; 7,380; 11,070; …
3,690 is divisible by both: 3,690 ÷ 90 = 41; 3,690 ÷ 205 = 18 — and 41 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 41 and of y/205 by 18.
90 = 2 × 32 × 5
205 = 5 × 41
| Prime | 90 | 205 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | 32 | — | 32 |
| 5 | 5 | 5 | 5 |
| 41 | — | 41 | 41 |
— = 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 × 41 = 3,690
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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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