LCM for 35 and 49
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What's the Least Common Multiple (LCM) of 35 and 49?
Answer
LCM of 35 and 49 is
245
First common multiples: 245, 490, 735, …
245 is divisible by both: 245 ÷ 35 = 7, 245 ÷ 49 = 5 — and 7 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/35 by 7 and of y/49 by 5.
35 = 5 × 7
49 = 72
| Prime | 35 | 49 | Highest power |
|---|---|---|---|
| 5 | 5 | — | 5 |
| 7 | 7 | 72 | 72 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 5 × 72 = 245
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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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