Find the LCM of 979, 918, 507, 935, 846 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, 918, 507, 935, 846. So, keep reading to learn more.
Given numbers are 979,918,507,935,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,918,507,935,846 is 35692744230.
Find LCM of 979,918,507,935,846 with Prime Factorization
2 | 979, 918, 507, 935, 846 |
3 | 979, 459, 507, 935, 423 |
3 | 979, 153, 169, 935, 141 |
11 | 979, 51, 169, 935, 47 |
17 | 89, 51, 169, 85, 47 |
89, 3, 169, 5, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 17 x 89 x 3 x 169 x 5 x 47 = 35692744230
Therefore, the lowest common multiple of 979,918,507,935,846 is 35692744230.
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 918 x 507 x 935 x 846 = 360425331234540
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
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
507 : 1, 3, 13, 39, 169, 507
935 : 1, 5, 11, 17, 55, 85, 187, 935
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,918,507,935,846, is 1.
Now, the common factors can be found like this.
979:11x 89
918:2x 3x 3x 3x 17
507:3x 13x 13
935:5x 11x 17
846:2x 3x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 11x 17 = 10098
Therefore, the value for common factors is 10098.
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 = 360425331234540/(1x10098)
LCM = 360425331234540/10098
LCM = 35692744230
Thus, we can understand that the LCM of 979,918,507,935,846 is 35692744230.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 979, 918, 507, 935, 846?
Answer: LCM of 979, 918, 507, 935, 846 is 35692744230.
2. How to calculate the LCM of 979, 918, 507, 935, 846?
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, 918, 507, 935, 846.
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}.