Find the LCM of 667, 265, 690, 205, 913 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 667, 265, 690, 205, 913. So, keep reading to learn more.
Given numbers are 667,265,690,205,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,265,690,205,913 is 39698819490.
Find LCM of 667,265,690,205,913 with Prime Factorization
5 | 667, 265, 690, 205, 913 |
23 | 667, 53, 138, 41, 913 |
29, 53, 6, 41, 913 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 29 x 53 x 6 x 41 x 913 = 39698819490
Therefore, the lowest common multiple of 667,265,690,205,913 is 39698819490.
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.
667 x 265 x 690 x 205 x 913 = 22826821206750
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.
667 : 1, 23, 29, 667
265 : 1, 5, 53, 265
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
205 : 1, 5, 41, 205
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,265,690,205,913, is 1.
Now, the common factors can be found like this.
667:23x 29
265:5x 53
690:2x 3x 5x 23
205:5x 41
913:11x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 23 = 575
Therefore, the value for common factors is 575.
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 = 22826821206750/(1x575)
LCM = 22826821206750/575
LCM = 39698819490
Thus, we can understand that the LCM of 667,265,690,205,913 is 39698819490.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 667, 265, 690, 205, 913?
Answer: LCM of 667, 265, 690, 205, 913 is 39698819490.
2. How to calculate the LCM of 667, 265, 690, 205, 913?
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 667, 265, 690, 205, 913.
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}.