Find the LCM of 637, 939, 920, 906, 810 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 637, 939, 920, 906, 810. So, keep reading to learn more.
Given numbers are 637,939,920,906,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,939,920,906,810 is 2243538690120.
Find LCM of 637,939,920,906,810 with Prime Factorization
2 | 637, 939, 920, 906, 810 |
3 | 637, 939, 460, 453, 405 |
5 | 637, 313, 460, 151, 135 |
637, 313, 92, 151, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 637 x 313 x 92 x 151 x 27 = 2243538690120
Therefore, the lowest common multiple of 637,939,920,906,810 is 2243538690120.
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.
637 x 939 x 920 x 906 x 810 = 403836964221600
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.
637 : 1, 7, 13, 49, 91, 637
939 : 1, 3, 313, 939
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
906 : 1, 2, 3, 6, 151, 302, 453, 906
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,939,920,906,810, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
939:3x 313
920:2x 2x 2x 5x 23
906:2x 3x 151
810:2x 3x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 403836964221600/(1x180)
LCM = 403836964221600/180
LCM = 2243538690120
Thus, we can understand that the LCM of 637,939,920,906,810 is 2243538690120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 637, 939, 920, 906, 810?
Answer: LCM of 637, 939, 920, 906, 810 is 2243538690120.
2. How to calculate the LCM of 637, 939, 920, 906, 810?
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 637, 939, 920, 906, 810.
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}.