Find the LCM of 105, 829, 913, 986, 913 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 105, 829, 913, 986, 913. So, keep reading to learn more.
Given numbers are 105,829,913,986,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,829,913,986,913 is 78359475810.
Find LCM of 105,829,913,986,913 with Prime Factorization
11 | 105, 829, 913, 986, 913 |
83 | 105, 829, 83, 986, 83 |
105, 829, 1, 986, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 83 x 105 x 829 x 1 x 986 x 1 = 78359475810
Therefore, the lowest common multiple of 105,829,913,986,913 is 78359475810.
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.
105 x 829 x 913 x 986 x 913 = 71542201414530
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
829 : 1, 829
913 : 1, 11, 83, 913
986 : 1, 2, 17, 29, 34, 58, 493, 986
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,829,913,986,913, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
829:829
913:11x 83
986:2x 17x 29
913:11x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 83 = 913
Therefore, the value for common factors is 913.
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 = 71542201414530/(1x913)
LCM = 71542201414530/913
LCM = 78359475810
Thus, we can understand that the LCM of 105,829,913,986,913 is 78359475810.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 105, 829, 913, 986, 913?
Answer: LCM of 105, 829, 913, 986, 913 is 78359475810.
2. How to calculate the LCM of 105, 829, 913, 986, 913?
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 105, 829, 913, 986, 913.
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}.