Find the LCM of 915, 117, 507, 906, 842 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 915, 117, 507, 906, 842. So, keep reading to learn more.
Given numbers are 915,117,507,906,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 915,117,507,906,842 is 58981809510.
Find LCM of 915,117,507,906,842 with Prime Factorization
2 | 915, 117, 507, 906, 842 |
3 | 915, 117, 507, 453, 421 |
13 | 305, 39, 169, 151, 421 |
305, 3, 13, 151, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 305 x 3 x 13 x 151 x 421 = 58981809510
Therefore, the lowest common multiple of 915,117,507,906,842 is 58981809510.
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.
915 x 117 x 507 x 906 x 842 = 41405230276020
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.
915 : 1, 3, 5, 15, 61, 183, 305, 915
117 : 1, 3, 9, 13, 39, 117
507 : 1, 3, 13, 39, 169, 507
906 : 1, 2, 3, 6, 151, 302, 453, 906
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 915,117,507,906,842, is 1.
Now, the common factors can be found like this.
915:3x 5x 61
117:3x 3x 13
507:3x 13x 13
906:2x 3x 151
842:2x 421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 13 = 702
Therefore, the value for common factors is 702.
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 = 41405230276020/(1x702)
LCM = 41405230276020/702
LCM = 58981809510
Thus, we can understand that the LCM of 915,117,507,906,842 is 58981809510.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 915, 117, 507, 906, 842?
Answer: LCM of 915, 117, 507, 906, 842 is 58981809510.
2. How to calculate the LCM of 915, 117, 507, 906, 842?
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 915, 117, 507, 906, 842.
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}.