LCM for 45 and 50
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What's the Least Common Multiple (LCM) of 45 and 50?
Answer
LCM of 45 and 50 is
450
First common multiples: 450; 900; 1,350; …
450 is divisible by both: 450 ÷ 45 = 10, 450 ÷ 50 = 9 — and 10 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/45 by 10 and of y/50 by 9.
45 = 32 × 5
50 = 2 × 52
| Prime | 45 | 50 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 3 | 32 | — | 32 |
| 5 | 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 × 32 × 52 = 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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