LCM for 50 and 3
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What's the Least Common Multiple (LCM) of 50 and 3?
Answer
LCM of 50 and 3 is
150
First common multiples: 150, 300, 450, …
150 is divisible by both: 150 ÷ 50 = 3, 150 ÷ 3 = 50 — and 3 and 50 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/50 by 3 and of y/3 by 50.
50 and 3 are coprime (GCF = 1), so their LCM is simply the product: 50 × 3 = 150.
50 = 2 × 52
3 — prime
| Prime | 50 | 3 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | — | 3 | 3 |
| 5 | 52 | — | 52 |
— = 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 = 150
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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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