Find the LCM of 996, 303, 729, 722, 798 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 996, 303, 729, 722, 798. So, keep reading to learn more.
Given numbers are 996,303,729,722,798
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 996,303,729,722,798 is 61772080356.
Find LCM of 996,303,729,722,798 with Prime Factorization
2 | 996, 303, 729, 722, 798 |
3 | 498, 303, 729, 361, 399 |
19 | 166, 101, 243, 361, 133 |
166, 101, 243, 19, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 166 x 101 x 243 x 19 x 7 = 61772080356
Therefore, the lowest common multiple of 996,303,729,722,798 is 61772080356.
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.
996 x 303 x 729 x 722 x 798 = 126756308890512
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.
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
303 : 1, 3, 101, 303
729 : 1, 3, 9, 27, 81, 243, 729
722 : 1, 2, 19, 38, 361, 722
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,303,729,722,798, is 1.
Now, the common factors can be found like this.
996:2x 2x 3x 83
303:3x 101
729:3x 3x 3x 3x 3x 3
722:2x 19x 19
798:2x 3x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 19 = 2052
Therefore, the value for common factors is 2052.
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 = 126756308890512/(1x2052)
LCM = 126756308890512/2052
LCM = 61772080356
Thus, we can understand that the LCM of 996,303,729,722,798 is 61772080356.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 996, 303, 729, 722, 798?
Answer: LCM of 996, 303, 729, 722, 798 is 61772080356.
2. How to calculate the LCM of 996, 303, 729, 722, 798?
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 996, 303, 729, 722, 798.
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}.