LCM for 105 and 170
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What's the Least Common Multiple (LCM) of 105 and 170?
Answer
LCM of 105 and 170 is
3,570
First common multiples: 3,570; 7,140; 10,710; …
3,570 is divisible by both: 3,570 ÷ 105 = 34; 3,570 ÷ 170 = 21 — and 34 and 21 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/105 by 34 and of y/170 by 21.
105 = 3 × 5 × 7
170 = 2 × 5 × 17
| Prime | 105 | 170 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 3 | 3 | — | 3 |
| 5 | 5 | 5 | 5 |
| 7 | 7 | — | 7 |
| 17 | — | 17 | 17 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 3 × 5 × 7 × 17 = 3,570
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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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