Find the LCM of 829, 333, 793, 715, 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 829, 333, 793, 715, 829. So, keep reading to learn more.
Given numbers are 829,333,793,715,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,333,793,715,829 is 12040226055.
Find LCM of 829,333,793,715,829 with Prime Factorization
13 | 829, 333, 793, 715, 829 |
829 | 829, 333, 61, 55, 829 |
1, 333, 61, 55, 1 |
Multiply the prime numbers at the bottom and the left side.
13 x 829 x 1 x 333 x 61 x 55 x 1 = 12040226055
Therefore, the lowest common multiple of 829,333,793,715,829 is 12040226055.
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 333 x 793 x 715 x 829 = 129757516194735
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
333 : 1, 3, 9, 37, 111, 333
793 : 1, 13, 61, 793
715 : 1, 5, 11, 13, 55, 65, 143, 715
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,333,793,715,829, is 1.
Now, the common factors can be found like this.
829:829
333:3x 3x 37
793:13x 61
715:5x 11x 13
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.
13x 829 = 10777
Therefore, the value for common factors is 10777.
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 = 129757516194735/(1x10777)
LCM = 129757516194735/10777
LCM = 12040226055
Thus, we can understand that the LCM of 829,333,793,715,829 is 12040226055.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 829, 333, 793, 715, 829?
Answer: LCM of 829, 333, 793, 715, 829 is 12040226055.
2. How to calculate the LCM of 829, 333, 793, 715, 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 829, 333, 793, 715, 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}.