Find the LCM of 591, 481, 481, 923, 812 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 591, 481, 481, 923, 812. So, keep reading to learn more.
Given numbers are 591,481,481,923,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,481,481,923,812 is 16388791692.
Find LCM of 591,481,481,923,812 with Prime Factorization
13 | 591, 481, 481, 923, 812 |
37 | 591, 37, 37, 71, 812 |
591, 1, 1, 71, 812 |
Multiply the prime numbers at the bottom and the left side.
13 x 37 x 591 x 1 x 1 x 71 x 812 = 16388791692
Therefore, the lowest common multiple of 591,481,481,923,812 is 16388791692.
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.
591 x 481 x 481 x 923 x 812 = 102479114450076
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.
591 : 1, 3, 197, 591
481 : 1, 13, 37, 481
481 : 1, 13, 37, 481
923 : 1, 13, 71, 923
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,481,481,923,812, is 1.
Now, the common factors can be found like this.
591:3x 197
481:13x 37
481:13x 37
923:13x 71
812:2x 2x 7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13x 37 = 6253
Therefore, the value for common factors is 6253.
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 = 102479114450076/(1x6253)
LCM = 102479114450076/6253
LCM = 16388791692
Thus, we can understand that the LCM of 591,481,481,923,812 is 16388791692.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 591, 481, 481, 923, 812?
Answer: LCM of 591, 481, 481, 923, 812 is 16388791692.
2. How to calculate the LCM of 591, 481, 481, 923, 812?
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 591, 481, 481, 923, 812.
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}.