LCM of 591, 568, 197, 591, 656
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 568, 197, 591, 656 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, 568, 197, 591, 656. So, keep reading to learn more.
Given numbers are 591,568,197,591,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,568,197,591,656 is 27526416.
Find LCM of 591,568,197,591,656 with Prime Factorization
| 2 | 591, 568, 197, 591, 656 |
| 2 | 591, 284, 197, 591, 328 |
| 2 | 591, 142, 197, 591, 164 |
| 3 | 591, 71, 197, 591, 82 |
| 197 | 197, 71, 197, 197, 82 |
| 1, 71, 1, 1, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 197 x 1 x 71 x 1 x 1 x 82 = 27526416
Therefore, the lowest common multiple of 591,568,197,591,656 is 27526416.
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 568 x 197 x 591 x 656 = 25638544285056
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
568 : 1, 2, 4, 8, 71, 142, 284, 568
197 : 1, 197
591 : 1, 3, 197, 591
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,568,197,591,656, is 1.
Now, the common factors can be found like this.
591:3x 197
568:2x 2x 2x 71
197:197
591:3x 197
656:2x 2x 2x 2x 41
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 197x 197 = 931416
Therefore, the value for common factors is 931416.
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 = 25638544285056/(1x931416)
LCM = 25638544285056/931416
LCM = 27526416
Thus, we can understand that the LCM of 591,568,197,591,656 is 27526416.
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FAQs on LCM of 591, 568, 197, 591, 656
1. What is the LCM of 591, 568, 197, 591, 656?
Answer: LCM of 591, 568, 197, 591, 656 is 27526416.
2. How to calculate the LCM of 591, 568, 197, 591, 656?
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, 568, 197, 591, 656.
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}.