LCM for 30 and 80
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What's the Least Common Multiple (LCM) of 30 and 80?
Answer
LCM of 30 and 80 is
240
First common multiples: 240, 480, 720, …
240 is divisible by both: 240 ÷ 30 = 8, 240 ÷ 80 = 3 — and 8 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/30 by 8 and of y/80 by 3.
30 = 2 × 3 × 5
80 = 24 × 5
| Prime | 30 | 80 | Highest power |
|---|---|---|---|
| 2 | 2 | 24 | 24 |
| 3 | 3 | — | 3 |
| 5 | 5 | 5 | 5 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 24 × 3 × 5 = 240
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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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