Find the LCM of 488, 422, 190, 208, 779 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 488, 422, 190, 208, 779. So, keep reading to learn more.
Given numbers are 488,422,190,208,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 488,422,190,208,779 is 10427569360.
Find LCM of 488,422,190,208,779 with Prime Factorization
2 | 488, 422, 190, 208, 779 |
2 | 244, 211, 95, 104, 779 |
2 | 122, 211, 95, 52, 779 |
19 | 61, 211, 95, 26, 779 |
61, 211, 5, 26, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 61 x 211 x 5 x 26 x 41 = 10427569360
Therefore, the lowest common multiple of 488,422,190,208,779 is 10427569360.
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.
488 x 422 x 190 x 208 x 779 = 6339962170880
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.
488 : 1, 2, 4, 8, 61, 122, 244, 488
422 : 1, 2, 211, 422
190 : 1, 2, 5, 10, 19, 38, 95, 190
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,422,190,208,779, is 1.
Now, the common factors can be found like this.
488:2x 2x 2x 61
422:2x 211
190:2x 5x 19
208:2x 2x 2x 2x 13
779:19x 41
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 2x 2x 2x 19 = 608
Therefore, the value for common factors is 608.
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 = 6339962170880/(1x608)
LCM = 6339962170880/608
LCM = 10427569360
Thus, we can understand that the LCM of 488,422,190,208,779 is 10427569360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 488, 422, 190, 208, 779?
Answer: LCM of 488, 422, 190, 208, 779 is 10427569360.
2. How to calculate the LCM of 488, 422, 190, 208, 779?
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 488, 422, 190, 208, 779.
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}.