Find the LCM of 218, 826, 339, 766 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 218, 826, 339, 766. So, keep reading to learn more.
Given numbers are 218,826,339,766
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,826,339,766 is 11689744458.
Find LCM of 218,826,339,766 with Prime Factorization
2 | 218, 826, 339, 766 |
109, 413, 339, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 109 x 413 x 339 x 383 = 11689744458
Therefore, the lowest common multiple of 218,826,339,766 is 11689744458.
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.
218 x 826 x 339 x 766 = 46758977832
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.
218 : 1, 2, 109, 218
826 : 1, 2, 7, 14, 59, 118, 413, 826
339 : 1, 3, 113, 339
766 : 1, 2, 383, 766
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,826,339,766, is 1.
Now, the common factors can be found like this.
218:2x 109
826:2x 7x 59
339:3x 113
766:2x 383
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 46758977832/(1x4)
LCM = 46758977832/4
LCM = 11689744458
Thus, we can understand that the LCM of 218,826,339,766 is 11689744458.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 218, 826, 339, 766?
Answer: LCM of 218, 826, 339, 766 is 11689744458.
2. How to calculate the LCM of 218, 826, 339, 766?
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 218, 826, 339, 766.
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}.