Find the LCM of 991, 879, 160, 412 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 991, 879, 160, 412. So, keep reading to learn more.
Given numbers are 991,879,160,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,879,160,412 is 14355546720.
Find LCM of 991,879,160,412 with Prime Factorization
2 | 991, 879, 160, 412 |
2 | 991, 879, 80, 206 |
991, 879, 40, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 991 x 879 x 40 x 103 = 14355546720
Therefore, the lowest common multiple of 991,879,160,412 is 14355546720.
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.
991 x 879 x 160 x 412 = 57422186880
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.
991 : 1, 991
879 : 1, 3, 293, 879
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,879,160,412, is 1.
Now, the common factors can be found like this.
991:991
879:3x 293
160:2x 2x 2x 2x 2x 5
412:2x 2x 103
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 = 57422186880/(1x4)
LCM = 57422186880/4
LCM = 14355546720
Thus, we can understand that the LCM of 991,879,160,412 is 14355546720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 991, 879, 160, 412?
Answer: LCM of 991, 879, 160, 412 is 14355546720.
2. How to calculate the LCM of 991, 879, 160, 412?
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 991, 879, 160, 412.
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}.