LCM of 979, 858, 517, 794
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 858, 517, 794 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, 858, 517, 794. So, keep reading to learn more.
Given numbers are 979,858,517,794
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,858,517,794 is 1424838558.
Find LCM of 979,858,517,794 with Prime Factorization
| 2 | 979, 858, 517, 794 |
| 11 | 979, 429, 517, 397 |
| 89, 39, 47, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 89 x 39 x 47 x 397 = 1424838558
Therefore, the lowest common multiple of 979,858,517,794 is 1424838558.
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 858 x 517 x 794 = 344810931036
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
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
517 : 1, 11, 47, 517
794 : 1, 2, 397, 794
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,858,517,794, is 1.
Now, the common factors can be found like this.
979:11x 89
858:2x 3x 11x 13
517:11x 47
794:2x 397
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 344810931036/(1x242)
LCM = 344810931036/242
LCM = 1424838558
Thus, we can understand that the LCM of 979,858,517,794 is 1424838558.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 979, 858, 517, 794
1. What is the LCM of 979, 858, 517, 794?
Answer: LCM of 979, 858, 517, 794 is 1424838558.
2. How to calculate the LCM of 979, 858, 517, 794?
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, 858, 517, 794.
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}.