LCM for 60 and 450
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What's the Least Common Multiple (LCM) of 60 and 450?
Answer
LCM of 60 and 450 is
900
First common multiples: 900; 1,800; 2,700; …
900 is divisible by both: 900 ÷ 60 = 15, 900 ÷ 450 = 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/60 by 15 and of y/450 by 2.
60 = 22 × 3 × 5
450 = 2 × 32 × 52
| Prime | 60 | 450 | Highest power |
|---|---|---|---|
| 2 | 22 | 2 | 22 |
| 3 | 3 | 32 | 32 |
| 5 | 5 | 52 | 52 |
LCM = 22 × 32 × 52 = 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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