LCM for 105 and 770
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What's the Least Common Multiple (LCM) of 105 and 770?
Answer
LCM of 105 and 770 is
2,310
First common multiples: 2,310; 4,620; 6,930; …
2,310 is divisible by both: 2,310 ÷ 105 = 22; 2,310 ÷ 770 = 3 — and 22 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/105 by 22 and of y/770 by 3.
105 = 3 × 5 × 7
770 = 2 × 5 × 7 × 11
| Prime | 105 | 770 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 3 | 3 | — | 3 |
| 5 | 5 | 5 | 5 |
| 7 | 7 | 7 | 7 |
| 11 | — | 11 | 11 |
— = 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 × 11 = 2,310
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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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