Find the LCM of 857, 317, 112, 317 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 857, 317, 112, 317. So, keep reading to learn more.
Given numbers are 857,317,112,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 857,317,112,317 is 30426928.
Find LCM of 857,317,112,317 with Prime Factorization
317 | 857, 317, 112, 317 |
857, 1, 112, 1 |
Multiply the prime numbers at the bottom and the left side.
317 x 857 x 1 x 112 x 1 = 30426928
Therefore, the lowest common multiple of 857,317,112,317 is 30426928.
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.
857 x 317 x 112 x 317 = 9645336176
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.
857 : 1, 857
317 : 1, 317
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,317,112,317, is 1.
Now, the common factors can be found like this.
857:857
317:317
112:2x 2x 2x 2x 7
317:317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
317 = 317
Therefore, the value for common factors is 317.
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 = 9645336176/(1x317)
LCM = 9645336176/317
LCM = 30426928
Thus, we can understand that the LCM of 857,317,112,317 is 30426928.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 857, 317, 112, 317?
Answer: LCM of 857, 317, 112, 317 is 30426928.
2. How to calculate the LCM of 857, 317, 112, 317?
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 857, 317, 112, 317.
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}.