LCM of 635, 791, 508, 754, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 791, 508, 754, 845 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 635, 791, 508, 754, 845. So, keep reading to learn more.
Given numbers are 635,791,508,754,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,791,508,754,845 is 9846795140.
Find LCM of 635,791,508,754,845 with Prime Factorization
| 2 | 635, 791, 508, 754, 845 |
| 5 | 635, 791, 254, 377, 845 |
| 13 | 127, 791, 254, 377, 169 |
| 127 | 127, 791, 254, 29, 13 |
| 1, 791, 2, 29, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 127 x 1 x 791 x 2 x 29 x 13 = 9846795140
Therefore, the lowest common multiple of 635,791,508,754,845 is 9846795140.
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.
635 x 791 x 508 x 754 x 845 = 162570587761400
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.
635 : 1, 5, 127, 635
791 : 1, 7, 113, 791
508 : 1, 2, 4, 127, 254, 508
754 : 1, 2, 13, 26, 29, 58, 377, 754
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,791,508,754,845, is 1.
Now, the common factors can be found like this.
635:5x 127
791:7x 113
508:2x 2x 127
754:2x 13x 29
845:5x 13x 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 5x 13x 127 = 16510
Therefore, the value for common factors is 16510.
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 = 162570587761400/(1x16510)
LCM = 162570587761400/16510
LCM = 9846795140
Thus, we can understand that the LCM of 635,791,508,754,845 is 9846795140.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 635, 791, 508, 754, 845
1. What is the LCM of 635, 791, 508, 754, 845?
Answer: LCM of 635, 791, 508, 754, 845 is 9846795140.
2. How to calculate the LCM of 635, 791, 508, 754, 845?
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 635, 791, 508, 754, 845.
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}.