LCM for 50 and 345
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What's the Least Common Multiple (LCM) of 50 and 345?
Answer
LCM of 50 and 345 is
3,450
First common multiples: 3,450; 6,900; 10,350; …
3,450 is divisible by both: 3,450 ÷ 50 = 69; 3,450 ÷ 345 = 10 — and 69 and 10 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/50 by 69 and of y/345 by 10.
50 = 2 × 52
345 = 3 × 5 × 23
| Prime | 50 | 345 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | — | 3 | 3 |
| 5 | 52 | 5 | 52 |
| 23 | — | 23 | 23 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 3 × 52 × 23 = 3,450
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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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