Find the LCM of 989, 809, 809, 135 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 989, 809, 809, 135. So, keep reading to learn more.
Given numbers are 989,809,809,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,809,809,135 is 108013635.
Find LCM of 989,809,809,135 with Prime Factorization
809 | 989, 809, 809, 135 |
989, 1, 1, 135 |
Multiply the prime numbers at the bottom and the left side.
809 x 989 x 1 x 1 x 135 = 108013635
Therefore, the lowest common multiple of 989,809,809,135 is 108013635.
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.
989 x 809 x 809 x 135 = 87383030715
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.
989 : 1, 23, 43, 989
809 : 1, 809
809 : 1, 809
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,809,809,135, is 1.
Now, the common factors can be found like this.
989:23x 43
809:809
809:809
135:3x 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.
809 = 809
Therefore, the value for common factors is 809.
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 = 87383030715/(1x809)
LCM = 87383030715/809
LCM = 108013635
Thus, we can understand that the LCM of 989,809,809,135 is 108013635.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 989, 809, 809, 135?
Answer: LCM of 989, 809, 809, 135 is 108013635.
2. How to calculate the LCM of 989, 809, 809, 135?
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 989, 809, 809, 135.
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}.