Find the LCM of 861, 779, 905, 323 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 861, 779, 905, 323. So, keep reading to learn more.
Given numbers are 861,779,905,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,779,905,323 is 251683215.
Find LCM of 861,779,905,323 with Prime Factorization
19 | 861, 779, 905, 323 |
41 | 861, 41, 905, 17 |
21, 1, 905, 17 |
Multiply the prime numbers at the bottom and the left side.
19 x 41 x 21 x 1 x 905 x 17 = 251683215
Therefore, the lowest common multiple of 861,779,905,323 is 251683215.
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.
861 x 779 x 905 x 323 = 196061224485
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
779 : 1, 19, 41, 779
905 : 1, 5, 181, 905
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,779,905,323, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
779:19x 41
905:5x 181
323:17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 41 = 779
Therefore, the value for common factors is 779.
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 = 196061224485/(1x779)
LCM = 196061224485/779
LCM = 251683215
Thus, we can understand that the LCM of 861,779,905,323 is 251683215.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 861, 779, 905, 323?
Answer: LCM of 861, 779, 905, 323 is 251683215.
2. How to calculate the LCM of 861, 779, 905, 323?
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 861, 779, 905, 323.
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}.