LCM for 150 and 600
What's the Least Common Multiple (LCM) of 150 and 600?
Answer
(Six hundred)
Finding LCM for 150 and 600 using GCF of these numbers
The first method to find LCM for numbers 150 and 600 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 150 and 600 is 150, so
LCM = (150 × 600) ÷ 150
LCM = 90,000 ÷ 150
LCM = 600
Finding LCM for 150 and 600 by Listing Multiples
The second method to find LCM for numbers 150 and 600 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 150: 150, 300, 450, 600, 750, 900
Multiples of 600: 600, 1,200, 1,800
So the LCM for 150 and 600 is 600
Finding LCM for 150 and 600 by Prime Factorization
Another method to find LCM for numbers 150 and 600 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 150: 2, 3, 5, 5 (exponent form: 21, 31, 52)
All Prime Factors of 600: 2, 2, 2, 3, 5, 5 (exponent form: 23, 31, 52)
23 × 31 × 52 = 600
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
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
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?
How to find the LCM of 150 and 600 using prime factorization?
What is the difference between LCM and GCF?
See Also
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