Find the LCM of 687, 779, 310, 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 687, 779, 310, 779. So, keep reading to learn more.
Given numbers are 687,779,310,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,779,310,779 is 165903630.
Find LCM of 687,779,310,779 with Prime Factorization
19 | 687, 779, 310, 779 |
41 | 687, 41, 310, 41 |
687, 1, 310, 1 |
Multiply the prime numbers at the bottom and the left side.
19 x 41 x 687 x 1 x 310 x 1 = 165903630
Therefore, the lowest common multiple of 687,779,310,779 is 165903630.
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.
687 x 779 x 310 x 779 = 129238927770
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.
687 : 1, 3, 229, 687
779 : 1, 19, 41, 779
310 : 1, 2, 5, 10, 31, 62, 155, 310
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,779,310,779, is 1.
Now, the common factors can be found like this.
687:3x 229
779:19x 41
310:2x 5x 31
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.
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 = 129238927770/(1x779)
LCM = 129238927770/779
LCM = 165903630
Thus, we can understand that the LCM of 687,779,310,779 is 165903630.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 687, 779, 310, 779?
Answer: LCM of 687, 779, 310, 779 is 165903630.
2. How to calculate the LCM of 687, 779, 310, 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 687, 779, 310, 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}.