LCM for 3 and 65
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What's the Least Common Multiple (LCM) of 3 and 65?
Answer
LCM of 3 and 65 is
195
First common multiples: 195, 390, 585, …
195 is divisible by both: 195 ÷ 3 = 65, 195 ÷ 65 = 3 — and 65 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/3 by 65 and of y/65 by 3.
3 and 65 are coprime (GCF = 1), so their LCM is simply the product: 3 × 65 = 195.
3 — prime
65 = 5 × 13
| Prime | 3 | 65 | Highest power |
|---|---|---|---|
| 3 | 3 | — | 3 |
| 5 | — | 5 | 5 |
| 13 | — | 13 | 13 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 3 × 5 × 13 = 195
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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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