LCM of 861, 506, 231, 317
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 506, 231, 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 861, 506, 231, 317. So, keep reading to learn more.
Given numbers are 861,506,231,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,506,231,317 is 138106122.
Find LCM of 861,506,231,317 with Prime Factorization
| 3 | 861, 506, 231, 317 |
| 7 | 287, 506, 77, 317 |
| 11 | 41, 506, 11, 317 |
| 41, 46, 1, 317 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 41 x 46 x 1 x 317 = 138106122
Therefore, the lowest common multiple of 861,506,231,317 is 138106122.
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.
861 x 506 x 231 x 317 = 31902514182
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
506 : 1, 2, 11, 22, 23, 46, 253, 506
231 : 1, 3, 7, 11, 21, 33, 77, 231
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,506,231,317, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
506:2x 11x 23
231:3x 7x 11
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.
3x 7x 11 = 231
Therefore, the value for common factors is 231.
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 = 31902514182/(1x231)
LCM = 31902514182/231
LCM = 138106122
Thus, we can understand that the LCM of 861,506,231,317 is 138106122.
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FAQs on LCM of 861, 506, 231, 317
1. What is the LCM of 861, 506, 231, 317?
Answer: LCM of 861, 506, 231, 317 is 138106122.
2. How to calculate the LCM of 861, 506, 231, 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 861, 506, 231, 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}.