Find the LCM of 861, 116, 659, 619, 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 861, 116, 659, 619, 779. So, keep reading to learn more.
Given numbers are 861,116,659,619,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,116,659,619,779 is 774088838124.
Find LCM of 861,116,659,619,779 with Prime Factorization
41 | 861, 116, 659, 619, 779 |
21, 116, 659, 619, 19 |
Multiply the prime numbers at the bottom and the left side.
41 x 21 x 116 x 659 x 619 x 19 = 774088838124
Therefore, the lowest common multiple of 861,116,659,619,779 is 774088838124.
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 116 x 659 x 619 x 779 = 31737642363084
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
116 : 1, 2, 4, 29, 58, 116
659 : 1, 659
619 : 1, 619
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,116,659,619,779, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
116:2x 2x 29
659:659
619:619
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.
41 = 41
Therefore, the value for common factors is 41.
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 = 31737642363084/(1x41)
LCM = 31737642363084/41
LCM = 774088838124
Thus, we can understand that the LCM of 861,116,659,619,779 is 774088838124.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 861, 116, 659, 619, 779?
Answer: LCM of 861, 116, 659, 619, 779 is 774088838124.
2. How to calculate the LCM of 861, 116, 659, 619, 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 861, 116, 659, 619, 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}.