Find the LCM of 829, 622, 793, 117, 854 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 829, 622, 793, 117, 854. So, keep reading to learn more.
Given numbers are 829,622,793,117,854
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,622,793,117,854 is 25760758842.
Find LCM of 829,622,793,117,854 with Prime Factorization
2 | 829, 622, 793, 117, 854 |
13 | 829, 311, 793, 117, 427 |
61 | 829, 311, 61, 9, 427 |
829, 311, 1, 9, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 61 x 829 x 311 x 1 x 9 x 7 = 25760758842
Therefore, the lowest common multiple of 829,622,793,117,854 is 25760758842.
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.
829 x 622 x 793 x 117 x 854 = 40856563523412
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.
829 : 1, 829
622 : 1, 2, 311, 622
793 : 1, 13, 61, 793
117 : 1, 3, 9, 13, 39, 117
854 : 1, 2, 7, 14, 61, 122, 427, 854
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,622,793,117,854, is 1.
Now, the common factors can be found like this.
829:829
622:2x 311
793:13x 61
117:3x 3x 13
854:2x 7x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 61 = 1586
Therefore, the value for common factors is 1586.
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 = 40856563523412/(1x1586)
LCM = 40856563523412/1586
LCM = 25760758842
Thus, we can understand that the LCM of 829,622,793,117,854 is 25760758842.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 829, 622, 793, 117, 854?
Answer: LCM of 829, 622, 793, 117, 854 is 25760758842.
2. How to calculate the LCM of 829, 622, 793, 117, 854?
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 829, 622, 793, 117, 854.
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}.