LCM of 793, 976, 591, 585, 327
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 976, 591, 585, 327 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 793, 976, 591, 585, 327. So, keep reading to learn more.
Given numbers are 793,976,591,585,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,976,591,585,327 is 12260224080.
Find LCM of 793,976,591,585,327 with Prime Factorization
| 3 | 793, 976, 591, 585, 327 |
| 13 | 793, 976, 197, 195, 109 |
| 61 | 61, 976, 197, 15, 109 |
| 1, 16, 197, 15, 109 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 61 x 1 x 16 x 197 x 15 x 109 = 12260224080
Therefore, the lowest common multiple of 793,976,591,585,327 is 12260224080.
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.
793 x 976 x 591 x 585 x 327 = 87501219258960
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.
793 : 1, 13, 61, 793
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
591 : 1, 3, 197, 591
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
327 : 1, 3, 109, 327
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,976,591,585,327, is 1.
Now, the common factors can be found like this.
793:13x 61
976:2x 2x 2x 2x 61
591:3x 197
585:3x 3x 5x 13
327:3x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13x 61 = 7137
Therefore, the value for common factors is 7137.
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 = 87501219258960/(1x7137)
LCM = 87501219258960/7137
LCM = 12260224080
Thus, we can understand that the LCM of 793,976,591,585,327 is 12260224080.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 793, 976, 591, 585, 327
1. What is the LCM of 793, 976, 591, 585, 327?
Answer: LCM of 793, 976, 591, 585, 327 is 12260224080.
2. How to calculate the LCM of 793, 976, 591, 585, 327?
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 793, 976, 591, 585, 327.
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}.