LCM of 515, 657, 580, 584
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 657, 580, 584 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 515, 657, 580, 584. So, keep reading to learn more.
Given numbers are 515,657,580,584
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,657,580,584 is 78498360.
Find LCM of 515,657,580,584 with Prime Factorization
| 2 | 515, 657, 580, 584 |
| 2 | 515, 657, 290, 292 |
| 5 | 515, 657, 145, 146 |
| 73 | 103, 657, 29, 146 |
| 103, 9, 29, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 73 x 103 x 9 x 29 x 2 = 78498360
Therefore, the lowest common multiple of 515,657,580,584 is 78498360.
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.
515 x 657 x 580 x 584 = 114607605600
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.
515 : 1, 5, 103, 515
657 : 1, 3, 9, 73, 219, 657
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
584 : 1, 2, 4, 8, 73, 146, 292, 584
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,657,580,584, is 1.
Now, the common factors can be found like this.
515:5x 103
657:3x 3x 73
580:2x 2x 5x 29
584:2x 2x 2x 73
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 5x 73 = 1460
Therefore, the value for common factors is 1460.
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 = 114607605600/(1x1460)
LCM = 114607605600/1460
LCM = 78498360
Thus, we can understand that the LCM of 515,657,580,584 is 78498360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 515, 657, 580, 584
1. What is the LCM of 515, 657, 580, 584?
Answer: LCM of 515, 657, 580, 584 is 78498360.
2. How to calculate the LCM of 515, 657, 580, 584?
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 515, 657, 580, 584.
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}.