LCM for 7 and 48
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What's the Least Common Multiple (LCM) of 7 and 48?
Answer
LCM of 7 and 48 is
336
First common multiples: 336; 672; 1,008; …
336 is divisible by both: 336 ÷ 7 = 48, 336 ÷ 48 = 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/7 by 48 and of y/48 by 7.
7 and 48 are coprime (GCF = 1), so their LCM is simply the product: 7 × 48 = 336.
7 — prime
48 = 24 × 3
| Prime | 7 | 48 | Highest power |
|---|---|---|---|
| 2 | — | 24 | 24 |
| 3 | — | 3 | 3 |
| 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 = 24 × 3 × 7 = 336
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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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