Find the LCM of 112, 959, 889, 810 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 112, 959, 889, 810. So, keep reading to learn more.
Given numbers are 112,959,889,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,959,889,810 is 789218640.
Find LCM of 112,959,889,810 with Prime Factorization
2 | 112, 959, 889, 810 |
7 | 56, 959, 889, 405 |
8, 137, 127, 405 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 8 x 137 x 127 x 405 = 789218640
Therefore, the lowest common multiple of 112,959,889,810 is 789218640.
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.
112 x 959 x 889 x 810 = 77343426720
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
959 : 1, 7, 137, 959
889 : 1, 7, 127, 889
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,959,889,810, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
959:7x 137
889:7x 127
810:2x 3x 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.
2x 7x 7 = 98
Therefore, the value for common factors is 98.
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 = 77343426720/(1x98)
LCM = 77343426720/98
LCM = 789218640
Thus, we can understand that the LCM of 112,959,889,810 is 789218640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 112, 959, 889, 810?
Answer: LCM of 112, 959, 889, 810 is 789218640.
2. How to calculate the LCM of 112, 959, 889, 810?
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 112, 959, 889, 810.
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}.