LCM for 150 and 600
"Least Common Multiple" Calculator
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
More with these numbers
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
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 |
FAQ
What's the Least Common Multiple (LCM) of 150 and 600?
LCM of 150 and 600 is 600
How to find the LCM of 150 and 600 using prime factorization?
To find the LCM of 150 and 600, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 600.
What is the difference between LCM and GCF?
LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 150 and 600: LCM = 600, GCF = 150.
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