LCM of 580, 689, 870, 525, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 580, 689, 870, 525, 312 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, 689, 870, 525, 312. So, keep reading to learn more.
Given numbers are 580,689,870,525,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,689,870,525,312 is 83920200.
Find LCM of 580,689,870,525,312 with Prime Factorization
| 2 | 580, 689, 870, 525, 312 |
| 2 | 290, 689, 435, 525, 156 |
| 3 | 145, 689, 435, 525, 78 |
| 5 | 145, 689, 145, 175, 26 |
| 13 | 29, 689, 29, 35, 26 |
| 29 | 29, 53, 29, 35, 2 |
| 1, 53, 1, 35, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 29 x 1 x 53 x 1 x 35 x 2 = 83920200
Therefore, the lowest common multiple of 580,689,870,525,312 is 83920200.
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 689 x 870 x 525 x 312 = 56948247720000
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
689 : 1, 13, 53, 689
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,689,870,525,312, is 1.
Now, the common factors can be found like this.
580:2x 2x 5x 29
689:13x 53
870:2x 3x 5x 29
525:3x 5x 5x 7
312:2x 2x 2x 3x 13
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 3x 3x 5x 5x 13x 29 = 678600
Therefore, the value for common factors is 678600.
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 = 56948247720000/(1x678600)
LCM = 56948247720000/678600
LCM = 83920200
Thus, we can understand that the LCM of 580,689,870,525,312 is 83920200.
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FAQs on LCM of 580, 689, 870, 525, 312
1. What is the LCM of 580, 689, 870, 525, 312?
Answer: LCM of 580, 689, 870, 525, 312 is 83920200.
2. How to calculate the LCM of 580, 689, 870, 525, 312?
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, 689, 870, 525, 312.
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}.