Find the LCM of 311, 933, 782, 113 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 311, 933, 782, 113. So, keep reading to learn more.
Given numbers are 311,933,782,113
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,933,782,113 is 82445478.
Find LCM of 311,933,782,113 with Prime Factorization
311 | 311, 933, 782, 113 |
1, 3, 782, 113 |
Multiply the prime numbers at the bottom and the left side.
311 x 1 x 3 x 782 x 113 = 82445478
Therefore, the lowest common multiple of 311,933,782,113 is 82445478.
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.
311 x 933 x 782 x 113 = 25640543658
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.
311 : 1, 311
933 : 1, 3, 311, 933
782 : 1, 2, 17, 23, 34, 46, 391, 782
113 : 1, 113
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,933,782,113, is 1.
Now, the common factors can be found like this.
311:311
933:3x 311
782:2x 17x 23
113:113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
311 = 311
Therefore, the value for common factors is 311.
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 = 25640543658/(1x311)
LCM = 25640543658/311
LCM = 82445478
Thus, we can understand that the LCM of 311,933,782,113 is 82445478.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 311, 933, 782, 113?
Answer: LCM of 311, 933, 782, 113 is 82445478.
2. How to calculate the LCM of 311, 933, 782, 113?
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 311, 933, 782, 113.
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}.