Find the LCM of 476, 713, 897, 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 476, 713, 897, 779. So, keep reading to learn more.
Given numbers are 476,713,897,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 476,713,897,779 is 10310946828.
Find LCM of 476,713,897,779 with Prime Factorization
23 | 476, 713, 897, 779 |
476, 31, 39, 779 |
Multiply the prime numbers at the bottom and the left side.
23 x 476 x 31 x 39 x 779 = 10310946828
Therefore, the lowest common multiple of 476,713,897,779 is 10310946828.
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.
476 x 713 x 897 x 779 = 237151777044
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.
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
713 : 1, 23, 31, 713
897 : 1, 3, 13, 23, 39, 69, 299, 897
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,713,897,779, is 1.
Now, the common factors can be found like this.
476:2x 2x 7x 17
713:23x 31
897:3x 13x 23
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.
23 = 23
Therefore, the value for common factors is 23.
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 = 237151777044/(1x23)
LCM = 237151777044/23
LCM = 10310946828
Thus, we can understand that the LCM of 476,713,897,779 is 10310946828.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 476, 713, 897, 779?
Answer: LCM of 476, 713, 897, 779 is 10310946828.
2. How to calculate the LCM of 476, 713, 897, 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 476, 713, 897, 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}.