LCM of 516, 715, 586, 440, 601
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 516, 715, 586, 440, 601 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 516, 715, 586, 440, 601. So, keep reading to learn more.
Given numbers are 516,715,586,440,601
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 516,715,586,440,601 is 129935502840.
Find LCM of 516,715,586,440,601 with Prime Factorization
| 2 | 516, 715, 586, 440, 601 |
| 2 | 258, 715, 293, 220, 601 |
| 5 | 129, 715, 293, 110, 601 |
| 11 | 129, 143, 293, 22, 601 |
| 129, 13, 293, 2, 601 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 129 x 13 x 293 x 2 x 601 = 129935502840
Therefore, the lowest common multiple of 516,715,586,440,601 is 129935502840.
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.
516 x 715 x 586 x 440 x 601 = 57171621249600
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.
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
715 : 1, 5, 11, 13, 55, 65, 143, 715
586 : 1, 2, 293, 586
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
601 : 1, 601
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,715,586,440,601, is 1.
Now, the common factors can be found like this.
516:2x 2x 3x 43
715:5x 11x 13
586:2x 293
440:2x 2x 2x 5x 11
601:601
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 5x 11 = 440
Therefore, the value for common factors is 440.
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 = 57171621249600/(1x440)
LCM = 57171621249600/440
LCM = 129935502840
Thus, we can understand that the LCM of 516,715,586,440,601 is 129935502840.
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FAQs on LCM of 516, 715, 586, 440, 601
1. What is the LCM of 516, 715, 586, 440, 601?
Answer: LCM of 516, 715, 586, 440, 601 is 129935502840.
2. How to calculate the LCM of 516, 715, 586, 440, 601?
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 516, 715, 586, 440, 601.
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}.