LCM for 50 and 390
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What's the Least Common Multiple (LCM) of 50 and 390?
Answer
LCM of 50 and 390 is
1,950
First common multiples: 1,950; 3,900; 5,850; …
1,950 is divisible by both: 1,950 ÷ 50 = 39; 1,950 ÷ 390 = 5 — and 39 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/50 by 39 and of y/390 by 5.
50 = 2 × 52
390 = 2 × 3 × 5 × 13
| Prime | 50 | 390 | Highest power |
|---|---|---|---|
| 2 | 2 | 2 | 2 |
| 3 | — | 3 | 3 |
| 5 | 52 | 5 | 52 |
| 13 | — | 13 | 13 |
— = 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 × 13 = 1,950
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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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