Find the LCM of 809, 898, 989, 892 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 809, 898, 989, 892. So, keep reading to learn more.
Given numbers are 809,898,989,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,898,989,892 is 320446851308.
Find LCM of 809,898,989,892 with Prime Factorization
2 | 809, 898, 989, 892 |
809, 449, 989, 446 |
Multiply the prime numbers at the bottom and the left side.
2 x 809 x 449 x 989 x 446 = 320446851308
Therefore, the lowest common multiple of 809,898,989,892 is 320446851308.
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.
809 x 898 x 989 x 892 = 640893702616
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.
809 : 1, 809
898 : 1, 2, 449, 898
989 : 1, 23, 43, 989
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,898,989,892, is 1.
Now, the common factors can be found like this.
809:809
898:2x 449
989:23x 43
892:2x 2x 223
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 = 640893702616/(1x2)
LCM = 640893702616/2
LCM = 320446851308
Thus, we can understand that the LCM of 809,898,989,892 is 320446851308.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 809, 898, 989, 892?
Answer: LCM of 809, 898, 989, 892 is 320446851308.
2. How to calculate the LCM of 809, 898, 989, 892?
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 809, 898, 989, 892.
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}.