LCM for 150 and 600
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What's the Least Common Multiple (LCM) of 150 and 600?
Answer
LCM of 150 and 600 is
600
First common multiples: 600; 1,200; 1,800; …
As a common denominator: multiply the top and bottom of x/150 by 4.
150 divides 600 (600 ÷ 150 = 4), so the LCM is the larger number itself.
150 = 2 × 3 × 52
600 = 23 × 3 × 52
| Prime | 150 | 600 | Highest power |
|---|---|---|---|
| 2 | 2 | 23 | 23 |
| 3 | 3 | 3 | 3 |
| 5 | 52 | 52 | 52 |
LCM = 23 × 3 × 52 = 600
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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 |
|---|---|---|
| 150 | 585 | 5,850 |
| 150 | 586 | 43,950 |
| 150 | 587 | 88,050 |
| 150 | 588 | 14,700 |
| 150 | 589 | 88,350 |
| 150 | 590 | 8,850 |
| 150 | 591 | 29,550 |
| 150 | 592 | 44,400 |
| 150 | 593 | 88,950 |
| 150 | 594 | 14,850 |
| 150 | 595 | 17,850 |
| 150 | 596 | 44,700 |
| 150 | 597 | 29,850 |
| 150 | 598 | 44,850 |
| 150 | 599 | 89,850 |
| 150 | 600 | 600 |
| 150 | 601 | 90,150 |
| 150 | 602 | 45,150 |
| 150 | 603 | 30,150 |
| 150 | 604 | 45,300 |
| 150 | 605 | 18,150 |
| 150 | 606 | 15,150 |
| 150 | 607 | 91,050 |
| 150 | 608 | 45,600 |
| 150 | 609 | 30,450 |
| 150 | 610 | 9,150 |
| 150 | 611 | 91,650 |
| 150 | 612 | 15,300 |
| 150 | 613 | 91,950 |
| 150 | 614 | 46,050 |