LCM for 680 and 612
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What's the Least Common Multiple (LCM) of 680 and 612?
Answer
LCM of 680 and 612 is
6,120
First common multiples: 6,120; 12,240; 18,360; …
6,120 is divisible by both: 6,120 ÷ 680 = 9; 6,120 ÷ 612 = 10 — and 9 and 10 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/680 by 9 and of y/612 by 10.
680 = 23 × 5 × 17
612 = 22 × 32 × 17
| Prime | 680 | 612 | Highest power |
|---|---|---|---|
| 2 | 23 | 22 | 23 |
| 3 | — | 32 | 32 |
| 5 | 5 | — | 5 |
| 17 | 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 = 23 × 32 × 5 × 17 = 6,120
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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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LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 680 | 597 | 405,960 |
| 680 | 598 | 203,320 |
| 680 | 599 | 407,320 |
| 680 | 600 | 10,200 |
| 680 | 601 | 408,680 |
| 680 | 602 | 204,680 |
| 680 | 603 | 410,040 |
| 680 | 604 | 102,680 |
| 680 | 605 | 82,280 |
| 680 | 606 | 206,040 |
| 680 | 607 | 412,760 |
| 680 | 608 | 51,680 |
| 680 | 609 | 414,120 |
| 680 | 610 | 41,480 |
| 680 | 611 | 415,480 |
| 680 | 612 | 6,120 |
| 680 | 613 | 416,840 |
| 680 | 614 | 208,760 |
| 680 | 615 | 83,640 |
| 680 | 616 | 52,360 |
| 680 | 617 | 419,560 |
| 680 | 618 | 210,120 |
| 680 | 619 | 420,920 |
| 680 | 620 | 21,080 |
| 680 | 621 | 422,280 |
| 680 | 622 | 211,480 |
| 680 | 623 | 423,640 |
| 680 | 624 | 53,040 |
| 680 | 625 | 85,000 |
| 680 | 626 | 212,840 |