LCM for 7 and 105
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What's the Least Common Multiple (LCM) of 7 and 105?
Answer
LCM of 7 and 105 is
105
First common multiples: 105, 210, 315, …
As a common denominator: multiply the top and bottom of x/7 by 15.
7 divides 105 (105 ÷ 7 = 15), so the LCM is the larger number itself.
7 — prime
105 = 3 × 5 × 7
| Prime | 7 | 105 | Highest power |
|---|---|---|---|
| 3 | — | 3 | 3 |
| 5 | — | 5 | 5 |
| 7 | 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 = 3 × 5 × 7 = 105
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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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