LCM of 580, 516, 638, 428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 580, 516, 638, 428 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, 516, 638, 428. So, keep reading to learn more.
Given numbers are 580,516,638,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,516,638,428 is 88063140.
Find LCM of 580,516,638,428 with Prime Factorization
| 2 | 580, 516, 638, 428 |
| 2 | 290, 258, 319, 214 |
| 29 | 145, 129, 319, 107 |
| 5, 129, 11, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 5 x 129 x 11 x 107 = 88063140
Therefore, the lowest common multiple of 580,516,638,428 is 88063140.
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 516 x 638 x 428 = 81722593920
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
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
638 : 1, 2, 11, 22, 29, 58, 319, 638
428 : 1, 2, 4, 107, 214, 428
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,516,638,428, is 2.
Now, the common factors can be found like this.
580:2x 2x 5x 29
516:2x 2x 3x 43
638:2x 11x 29
428:2x 2x 107
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 29 = 464
Therefore, the value for common factors is 464.
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 = 81722593920/(2x464)
LCM = 81722593920/928
LCM = 88063140
Thus, we can understand that the LCM of 580,516,638,428 is 88063140.
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FAQs on LCM of 580, 516, 638, 428
1. What is the LCM of 580, 516, 638, 428?
Answer: LCM of 580, 516, 638, 428 is 88063140.
2. How to calculate the LCM of 580, 516, 638, 428?
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, 516, 638, 428.
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}.