Find the LCM of 905, 137, 748, 857, 634 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 905, 137, 748, 857, 634. So, keep reading to learn more.
Given numbers are 905,137,748,857,634
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 905,137,748,857,634 is 25194794961820.
Find LCM of 905,137,748,857,634 with Prime Factorization
2 | 905, 137, 748, 857, 634 |
905, 137, 374, 857, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 905 x 137 x 374 x 857 x 317 = 25194794961820
Therefore, the lowest common multiple of 905,137,748,857,634 is 25194794961820.
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.
905 x 137 x 748 x 857 x 634 = 50389589923640
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.
905 : 1, 5, 181, 905
137 : 1, 137
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
857 : 1, 857
634 : 1, 2, 317, 634
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,137,748,857,634, is 1.
Now, the common factors can be found like this.
905:5x 181
137:137
748:2x 2x 11x 17
857:857
634:2x 317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 50389589923640/(1x2)
LCM = 50389589923640/2
LCM = 25194794961820
Thus, we can understand that the LCM of 905,137,748,857,634 is 25194794961820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 905, 137, 748, 857, 634?
Answer: LCM of 905, 137, 748, 857, 634 is 25194794961820.
2. How to calculate the LCM of 905, 137, 748, 857, 634?
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 905, 137, 748, 857, 634.
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}.