Find the LCM of 979, 806, 713, 992, 119 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, 806, 713, 992, 119. So, keep reading to learn more.
Given numbers are 979,806,713,992,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,806,713,992,119 is 34555128608.
Find LCM of 979,806,713,992,119 with Prime Factorization
2 | 979, 806, 713, 992, 119 |
31 | 979, 403, 713, 496, 119 |
979, 13, 23, 16, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 979 x 13 x 23 x 16 x 119 = 34555128608
Therefore, the lowest common multiple of 979,806,713,992,119 is 34555128608.
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 806 x 713 x 992 x 119 = 66414957184576
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
806 : 1, 2, 13, 26, 31, 62, 403, 806
713 : 1, 23, 31, 713
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,806,713,992,119, is 1.
Now, the common factors can be found like this.
979:11x 89
806:2x 13x 31
713:23x 31
992:2x 2x 2x 2x 2x 31
119:7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 31x 31 = 1922
Therefore, the value for common factors is 1922.
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 = 66414957184576/(1x1922)
LCM = 66414957184576/1922
LCM = 34555128608
Thus, we can understand that the LCM of 979,806,713,992,119 is 34555128608.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 979, 806, 713, 992, 119?
Answer: LCM of 979, 806, 713, 992, 119 is 34555128608.
2. How to calculate the LCM of 979, 806, 713, 992, 119?
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, 806, 713, 992, 119.
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}.