LCM for 50 and 375
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What's the Least Common Multiple (LCM) of 50 and 375?
Answer
LCM of 50 and 375 is
750
First common multiples: 750; 1,500; 2,250; …
750 is divisible by both: 750 ÷ 50 = 15, 750 ÷ 375 = 2 — and 15 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/50 by 15 and of y/375 by 2.
50 = 2 × 52
375 = 3 × 53
| Prime | 50 | 375 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | — | 3 | 3 |
| 5 | 52 | 53 | 53 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 3 × 53 = 750
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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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