Find the LCM of 808, 874, 842, 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 808, 874, 842, 913. So, keep reading to learn more.
Given numbers are 808,874,842,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,874,842,913 is 135720568808.
Find LCM of 808,874,842,913 with Prime Factorization
2 | 808, 874, 842, 913 |
404, 437, 421, 913 |
Multiply the prime numbers at the bottom and the left side.
2 x 404 x 437 x 421 x 913 = 135720568808
Therefore, the lowest common multiple of 808,874,842,913 is 135720568808.
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.
808 x 874 x 842 x 913 = 542882275232
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
874 : 1, 2, 19, 23, 38, 46, 437, 874
842 : 1, 2, 421, 842
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,874,842,913, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
874:2x 19x 23
842:2x 421
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.
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 = 542882275232/(1x4)
LCM = 542882275232/4
LCM = 135720568808
Thus, we can understand that the LCM of 808,874,842,913 is 135720568808.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 808, 874, 842, 913?
Answer: LCM of 808, 874, 842, 913 is 135720568808.
2. How to calculate the LCM of 808, 874, 842, 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 808, 874, 842, 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}.