LCM of 131, 891, 648, 385, 317
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 131, 891, 648, 385, 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 131, 891, 648, 385, 317. So, keep reading to learn more.
Given numbers are 131,891,648,385,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 131,891,648,385,317 is 10360155960.
Find LCM of 131,891,648,385,317 with Prime Factorization
| 3 | 131, 891, 648, 385, 317 |
| 3 | 131, 297, 216, 385, 317 |
| 3 | 131, 99, 72, 385, 317 |
| 3 | 131, 33, 24, 385, 317 |
| 11 | 131, 11, 8, 385, 317 |
| 131, 1, 8, 35, 317 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 3 x 11 x 131 x 1 x 8 x 35 x 317 = 10360155960
Therefore, the lowest common multiple of 131,891,648,385,317 is 10360155960.
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.
131 x 891 x 648 x 385 x 317 = 9230898960360
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.
131 : 1, 131
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
385 : 1, 5, 7, 11, 35, 55, 77, 385
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,891,648,385,317, is 1.
Now, the common factors can be found like this.
131:131
891:3x 3x 3x 3x 11
648:2x 2x 2x 3x 3x 3x 3
385:5x 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 3x 3x 3x 11 = 891
Therefore, the value for common factors is 891.
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 = 9230898960360/(1x891)
LCM = 9230898960360/891
LCM = 10360155960
Thus, we can understand that the LCM of 131,891,648,385,317 is 10360155960.
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FAQs on LCM of 131, 891, 648, 385, 317
1. What is the LCM of 131, 891, 648, 385, 317?
Answer: LCM of 131, 891, 648, 385, 317 is 10360155960.
2. How to calculate the LCM of 131, 891, 648, 385, 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 131, 891, 648, 385, 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}.