Find the LCM of 702, 689, 909, 481, 311 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 702, 689, 909, 481, 311. So, keep reading to learn more.
Given numbers are 702,689,909,481,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,689,909,481,311 is 43241073642.
Find LCM of 702,689,909,481,311 with Prime Factorization
3 | 702, 689, 909, 481, 311 |
3 | 234, 689, 303, 481, 311 |
13 | 78, 689, 101, 481, 311 |
6, 53, 101, 37, 311 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 6 x 53 x 101 x 37 x 311 = 43241073642
Therefore, the lowest common multiple of 702,689,909,481,311 is 43241073642.
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.
702 x 689 x 909 x 481 x 311 = 65769673009482
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
689 : 1, 13, 53, 689
909 : 1, 3, 9, 101, 303, 909
481 : 1, 13, 37, 481
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,689,909,481,311, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
689:13x 53
909:3x 3x 101
481:13x 37
311:311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13x 13 = 1521
Therefore, the value for common factors is 1521.
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 = 65769673009482/(1x1521)
LCM = 65769673009482/1521
LCM = 43241073642
Thus, we can understand that the LCM of 702,689,909,481,311 is 43241073642.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 702, 689, 909, 481, 311?
Answer: LCM of 702, 689, 909, 481, 311 is 43241073642.
2. How to calculate the LCM of 702, 689, 909, 481, 311?
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 702, 689, 909, 481, 311.
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}.