LCM for 80 and 200
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What's the Least Common Multiple (LCM) of 80 and 200?
Answer
LCM of 80 and 200 is
400
First common multiples: 400; 800; 1,200; …
400 is divisible by both: 400 ÷ 80 = 5, 400 ÷ 200 = 2 — and 5 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/80 by 5 and of y/200 by 2.
80 = 24 × 5
200 = 23 × 52
| Prime | 80 | 200 | Highest power |
|---|---|---|---|
| 2 | 24 | 23 | 24 |
| 5 | 5 | 52 | 52 |
LCM = 24 × 52 = 400
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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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