LCM of 979, 428, 913, 222, 317
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 428, 913, 222, 317 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 979, 428, 913, 222, 317. So, keep reading to learn more.
Given numbers are 979,428,913,222,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,428,913,222,317 is 1223733345252.
Find LCM of 979,428,913,222,317 with Prime Factorization
| 2 | 979, 428, 913, 222, 317 |
| 11 | 979, 214, 913, 111, 317 |
| 89, 214, 83, 111, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 89 x 214 x 83 x 111 x 317 = 1223733345252
Therefore, the lowest common multiple of 979,428,913,222,317 is 1223733345252.
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.
979 x 428 x 913 x 222 x 317 = 26922133595544
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.
979 : 1, 11, 89, 979
428 : 1, 2, 4, 107, 214, 428
913 : 1, 11, 83, 913
222 : 1, 2, 3, 6, 37, 74, 111, 222
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,428,913,222,317, is 1.
Now, the common factors can be found like this.
979:11x 89
428:2x 2x 107
913:11x 83
222:2x 3x 37
317:317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 26922133595544/(1x22)
LCM = 26922133595544/22
LCM = 1223733345252
Thus, we can understand that the LCM of 979,428,913,222,317 is 1223733345252.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 979, 428, 913, 222, 317
1. What is the LCM of 979, 428, 913, 222, 317?
Answer: LCM of 979, 428, 913, 222, 317 is 1223733345252.
2. How to calculate the LCM of 979, 428, 913, 222, 317?
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 979, 428, 913, 222, 317.
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}.