LCM for 50 and 380
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What's the Least Common Multiple (LCM) of 50 and 380?
Answer
LCM of 50 and 380 is
1,900
First common multiples: 1,900; 3,800; 5,700; …
1,900 is divisible by both: 1,900 ÷ 50 = 38; 1,900 ÷ 380 = 5 — and 38 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 38 and of y/380 by 5.
50 = 2 × 52
380 = 22 × 5 × 19
| Prime | 50 | 380 | Highest power |
|---|---|---|---|
| 2 | 2 | 22 | 22 |
| 5 | 52 | 5 | 52 |
| 19 | — | 19 | 19 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 52 × 19 = 1,900
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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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