LCM for 20 and 305
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What's the Least Common Multiple (LCM) of 20 and 305?
Answer
LCM of 20 and 305 is
1,220
First common multiples: 1,220; 2,440; 3,660; …
1,220 is divisible by both: 1,220 ÷ 20 = 61; 1,220 ÷ 305 = 4 — and 61 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/20 by 61 and of y/305 by 4.
20 = 22 × 5
305 = 5 × 61
| Prime | 20 | 305 | Highest power |
|---|---|---|---|
| 2 | 22 | — | 22 |
| 5 | 5 | 5 | 5 |
| 61 | — | 61 | 61 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 5 × 61 = 1,220
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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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