LCM of 580, 206, 800, 992, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 580, 206, 800, 992, 616 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 580, 206, 800, 992, 616. So, keep reading to learn more.
Given numbers are 580,206,800,992,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,206,800,992,616 is 5703975200.
Find LCM of 580,206,800,992,616 with Prime Factorization
| 2 | 580, 206, 800, 992, 616 |
| 2 | 290, 103, 400, 496, 308 |
| 2 | 145, 103, 200, 248, 154 |
| 2 | 145, 103, 100, 124, 77 |
| 2 | 145, 103, 50, 62, 77 |
| 5 | 145, 103, 25, 31, 77 |
| 29, 103, 5, 31, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 29 x 103 x 5 x 31 x 77 = 5703975200
Therefore, the lowest common multiple of 580,206,800,992,616 is 5703975200.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
580 x 206 x 800 x 992 x 616 = 58408706048000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
206 : 1, 2, 103, 206
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,206,800,992,616, is 2.
Now, the common factors can be found like this.
580:2x 2x 5x 29
206:2x 103
800:2x 2x 2x 2x 2x 5x 5
992:2x 2x 2x 2x 2x 31
616:2x 2x 2x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 5 = 5120
Therefore, the value for common factors is 5120.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 58408706048000/(2x5120)
LCM = 58408706048000/10240
LCM = 5703975200
Thus, we can understand that the LCM of 580,206,800,992,616 is 5703975200.
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FAQs on LCM of 580, 206, 800, 992, 616
1. What is the LCM of 580, 206, 800, 992, 616?
Answer: LCM of 580, 206, 800, 992, 616 is 5703975200.
2. How to calculate the LCM of 580, 206, 800, 992, 616?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 580, 206, 800, 992, 616.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.