LCM of 634, 717, 735, 793
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 634, 717, 735, 793 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 634, 717, 735, 793. So, keep reading to learn more.
Given numbers are 634,717,735,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,717,735,793 is 88317686730.
Find LCM of 634,717,735,793 with Prime Factorization
| 3 | 634, 717, 735, 793 |
| 634, 239, 245, 793 |
Multiply the prime numbers at the bottom and the left side.
3 x 634 x 239 x 245 x 793 = 88317686730
Therefore, the lowest common multiple of 634,717,735,793 is 88317686730.
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.
634 x 717 x 735 x 793 = 264953060190
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.
634 : 1, 2, 317, 634
717 : 1, 3, 239, 717
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,717,735,793, is 1.
Now, the common factors can be found like this.
634:2x 317
717:3x 239
735:3x 5x 7x 7
793:13x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 264953060190/(1x3)
LCM = 264953060190/3
LCM = 88317686730
Thus, we can understand that the LCM of 634,717,735,793 is 88317686730.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 634, 717, 735, 793
1. What is the LCM of 634, 717, 735, 793?
Answer: LCM of 634, 717, 735, 793 is 88317686730.
2. How to calculate the LCM of 634, 717, 735, 793?
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 634, 717, 735, 793.
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}.