Find the LCM of 979, 996, 355, 129, 636 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, 996, 355, 129, 636. So, keep reading to learn more.
Given numbers are 979,996,355,129,636
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,996,355,129,636 is 788886834780.
Find LCM of 979,996,355,129,636 with Prime Factorization
2 | 979, 996, 355, 129, 636 |
2 | 979, 498, 355, 129, 318 |
3 | 979, 249, 355, 129, 159 |
979, 83, 355, 43, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 979 x 83 x 355 x 43 x 53 = 788886834780
Therefore, the lowest common multiple of 979,996,355,129,636 is 788886834780.
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 996 x 355 x 129 x 636 = 28399926052080
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
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
355 : 1, 5, 71, 355
129 : 1, 3, 43, 129
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,996,355,129,636, is 1.
Now, the common factors can be found like this.
979:11x 89
996:2x 2x 3x 83
355:5x 71
129:3x 43
636:2x 2x 3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 28399926052080/(1x36)
LCM = 28399926052080/36
LCM = 788886834780
Thus, we can understand that the LCM of 979,996,355,129,636 is 788886834780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 979, 996, 355, 129, 636?
Answer: LCM of 979, 996, 355, 129, 636 is 788886834780.
2. How to calculate the LCM of 979, 996, 355, 129, 636?
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, 996, 355, 129, 636.
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}.