Find the LCM of 979, 107, 107, 829 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, 107, 107, 829. So, keep reading to learn more.
Given numbers are 979,107,107,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,107,107,829 is 86840237.
Find LCM of 979,107,107,829 with Prime Factorization
107 | 979, 107, 107, 829 |
979, 1, 1, 829 |
Multiply the prime numbers at the bottom and the left side.
107 x 979 x 1 x 1 x 829 = 86840237
Therefore, the lowest common multiple of 979,107,107,829 is 86840237.
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 107 x 107 x 829 = 9291905359
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
107 : 1, 107
107 : 1, 107
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,107,107,829, is 1.
Now, the common factors can be found like this.
979:11x 89
107:107
107:107
829:829
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
107 = 107
Therefore, the value for common factors is 107.
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 = 9291905359/(1x107)
LCM = 9291905359/107
LCM = 86840237
Thus, we can understand that the LCM of 979,107,107,829 is 86840237.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 979, 107, 107, 829?
Answer: LCM of 979, 107, 107, 829 is 86840237.
2. How to calculate the LCM of 979, 107, 107, 829?
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, 107, 107, 829.
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}.