Find the LCM of 591, 338, 856, 405, 676 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, 338, 856, 405, 676. So, keep reading to learn more.
Given numbers are 591,338,856,405,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,338,856,405,676 is 11542017240.
Find LCM of 591,338,856,405,676 with Prime Factorization
2 | 591, 338, 856, 405, 676 |
2 | 591, 169, 428, 405, 338 |
3 | 591, 169, 214, 405, 169 |
13 | 197, 169, 214, 135, 169 |
13 | 197, 13, 214, 135, 13 |
197, 1, 214, 135, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 13 x 197 x 1 x 214 x 135 x 1 = 11542017240
Therefore, the lowest common multiple of 591,338,856,405,676 is 11542017240.
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 338 x 856 x 405 x 676 = 46814421925440
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
338 : 1, 2, 13, 26, 169, 338
856 : 1, 2, 4, 8, 107, 214, 428, 856
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,338,856,405,676, is 1.
Now, the common factors can be found like this.
591:3x 197
338:2x 13x 13
856:2x 2x 2x 107
405:3x 3x 3x 3x 5
676:2x 2x 13x 13
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 2x 3x 13x 13 = 4056
Therefore, the value for common factors is 4056.
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 = 46814421925440/(1x4056)
LCM = 46814421925440/4056
LCM = 11542017240
Thus, we can understand that the LCM of 591,338,856,405,676 is 11542017240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 591, 338, 856, 405, 676?
Answer: LCM of 591, 338, 856, 405, 676 is 11542017240.
2. How to calculate the LCM of 591, 338, 856, 405, 676?
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, 338, 856, 405, 676.
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}.