LCM of 797, 671, 637, 910, 515
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 797, 671, 637, 910, 515 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 797, 671, 637, 910, 515. So, keep reading to learn more.
Given numbers are 797,671,637,910,515
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,671,637,910,515 is 350879098570.
Find LCM of 797,671,637,910,515 with Prime Factorization
| 5 | 797, 671, 637, 910, 515 |
| 7 | 797, 671, 637, 182, 103 |
| 13 | 797, 671, 91, 26, 103 |
| 797, 671, 7, 2, 103 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 13 x 797 x 671 x 7 x 2 x 103 = 350879098570
Therefore, the lowest common multiple of 797,671,637,910,515 is 350879098570.
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.
797 x 671 x 637 x 910 x 515 = 159649989849350
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.
797 : 1, 797
671 : 1, 11, 61, 671
637 : 1, 7, 13, 49, 91, 637
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
515 : 1, 5, 103, 515
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,671,637,910,515, is 1.
Now, the common factors can be found like this.
797:797
671:11x 61
637:7x 7x 13
910:2x 5x 7x 13
515:5x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 13 = 455
Therefore, the value for common factors is 455.
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 = 159649989849350/(1x455)
LCM = 159649989849350/455
LCM = 350879098570
Thus, we can understand that the LCM of 797,671,637,910,515 is 350879098570.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 797, 671, 637, 910, 515
1. What is the LCM of 797, 671, 637, 910, 515?
Answer: LCM of 797, 671, 637, 910, 515 is 350879098570.
2. How to calculate the LCM of 797, 671, 637, 910, 515?
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 797, 671, 637, 910, 515.
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}.