Find the LCM of 957, 121, 198, 979 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 957, 121, 198, 979. So, keep reading to learn more.
Given numbers are 957,121,198,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,121,198,979 is 5621418.
Find LCM of 957,121,198,979 with Prime Factorization
3 | 957, 121, 198, 979 |
11 | 319, 121, 66, 979 |
29, 11, 6, 89 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 29 x 11 x 6 x 89 = 5621418
Therefore, the lowest common multiple of 957,121,198,979 is 5621418.
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.
957 x 121 x 198 x 979 = 22446322074
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
121 : 1, 11, 121
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
979 : 1, 11, 89, 979
11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,121,198,979, is 11.
Now, the common factors can be found like this.
957:3x 11x 29
121:11x 11
198:2x 3x 3x 11
979:11x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 11 = 363
Therefore, the value for common factors is 363.
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 = 22446322074/(11x363)
LCM = 22446322074/3993
LCM = 5621418
Thus, we can understand that the LCM of 957,121,198,979 is 5621418.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 957, 121, 198, 979?
Answer: LCM of 957, 121, 198, 979 is 5621418.
2. How to calculate the LCM of 957, 121, 198, 979?
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 957, 121, 198, 979.
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}.