LCM of 231, 682, 646, 227, 317
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 231, 682, 646, 227, 317 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 231, 682, 646, 227, 317. So, keep reading to learn more.
Given numbers are 231,682,646,227,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 231,682,646,227,317 is 332882765754.
Find LCM of 231,682,646,227,317 with Prime Factorization
| 2 | 231, 682, 646, 227, 317 |
| 11 | 231, 341, 323, 227, 317 |
| 21, 31, 323, 227, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 21 x 31 x 323 x 227 x 317 = 332882765754
Therefore, the lowest common multiple of 231,682,646,227,317 is 332882765754.
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.
231 x 682 x 646 x 227 x 317 = 7323420846588
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.
231 : 1, 3, 7, 11, 21, 33, 77, 231
682 : 1, 2, 11, 22, 31, 62, 341, 682
646 : 1, 2, 17, 19, 34, 38, 323, 646
227 : 1, 227
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,682,646,227,317, is 1.
Now, the common factors can be found like this.
231:3x 7x 11
682:2x 11x 31
646:2x 17x 19
227:227
317:317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 7323420846588/(1x22)
LCM = 7323420846588/22
LCM = 332882765754
Thus, we can understand that the LCM of 231,682,646,227,317 is 332882765754.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 231, 682, 646, 227, 317
1. What is the LCM of 231, 682, 646, 227, 317?
Answer: LCM of 231, 682, 646, 227, 317 is 332882765754.
2. How to calculate the LCM of 231, 682, 646, 227, 317?
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 231, 682, 646, 227, 317.
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}.