LCM for 180 and 600
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What's the Least Common Multiple (LCM) of 180 and 600?
Answer
LCM of 180 and 600 is
1,800
First common multiples: 1,800; 3,600; 5,400; …
1,800 is divisible by both: 1,800 ÷ 180 = 10; 1,800 ÷ 600 = 3 — and 10 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/180 by 10 and of y/600 by 3.
180 = 22 × 32 × 5
600 = 23 × 3 × 52
| Prime | 180 | 600 | Highest power |
|---|---|---|---|
| 2 | 22 | 23 | 23 |
| 3 | 32 | 3 | 32 |
| 5 | 5 | 52 | 52 |
LCM = 23 × 32 × 52 = 1,800
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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 |
|---|---|---|
| 180 | 585 | 2,340 |
| 180 | 586 | 52,740 |
| 180 | 587 | 105,660 |
| 180 | 588 | 8,820 |
| 180 | 589 | 106,020 |
| 180 | 590 | 10,620 |
| 180 | 591 | 35,460 |
| 180 | 592 | 26,640 |
| 180 | 593 | 106,740 |
| 180 | 594 | 5,940 |
| 180 | 595 | 21,420 |
| 180 | 596 | 26,820 |
| 180 | 597 | 35,820 |
| 180 | 598 | 53,820 |
| 180 | 599 | 107,820 |
| 180 | 600 | 1,800 |
| 180 | 601 | 108,180 |
| 180 | 602 | 54,180 |
| 180 | 603 | 12,060 |
| 180 | 604 | 27,180 |
| 180 | 605 | 21,780 |
| 180 | 606 | 18,180 |
| 180 | 607 | 109,260 |
| 180 | 608 | 27,360 |
| 180 | 609 | 36,540 |
| 180 | 610 | 10,980 |
| 180 | 611 | 109,980 |
| 180 | 612 | 3,060 |
| 180 | 613 | 110,340 |
| 180 | 614 | 55,260 |