Find the LCM of 439, 891, 979, 446, 646 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 439, 891, 979, 446, 646. So, keep reading to learn more.
Given numbers are 439,891,979,446,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 439,891,979,446,646 is 5014984695138.
Find LCM of 439,891,979,446,646 with Prime Factorization
2 | 439, 891, 979, 446, 646 |
11 | 439, 891, 979, 223, 323 |
439, 81, 89, 223, 323 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 439 x 81 x 89 x 223 x 323 = 5014984695138
Therefore, the lowest common multiple of 439,891,979,446,646 is 5014984695138.
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.
439 x 891 x 979 x 446 x 646 = 110329663293036
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.
439 : 1, 439
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
979 : 1, 11, 89, 979
446 : 1, 2, 223, 446
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,891,979,446,646, is 1.
Now, the common factors can be found like this.
439:439
891:3x 3x 3x 3x 11
979:11x 89
446:2x 223
646:2x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 110329663293036/(1x22)
LCM = 110329663293036/22
LCM = 5014984695138
Thus, we can understand that the LCM of 439,891,979,446,646 is 5014984695138.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 439, 891, 979, 446, 646?
Answer: LCM of 439, 891, 979, 446, 646 is 5014984695138.
2. How to calculate the LCM of 439, 891, 979, 446, 646?
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 439, 891, 979, 446, 646.
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}.