LCM for 70 and 480
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What's the Least Common Multiple (LCM) of 70 and 480?
Answer
LCM of 70 and 480 is
3,360
First common multiples: 3,360; 6,720; 10,080; …
3,360 is divisible by both: 3,360 ÷ 70 = 48; 3,360 ÷ 480 = 7 — and 48 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/70 by 48 and of y/480 by 7.
70 = 2 × 5 × 7
480 = 25 × 3 × 5
| Prime | 70 | 480 | Highest power |
|---|---|---|---|
| 2 | 2 | 25 | 25 |
| 3 | — | 3 | 3 |
| 5 | 5 | 5 | 5 |
| 7 | 7 | — | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 25 × 3 × 5 × 7 = 3,360
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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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