LCM of 131, 309, 232, 484, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 131, 309, 232, 484, 847 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, 309, 232, 484, 847. So, keep reading to learn more.
Given numbers are 131,309,232,484,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 131,309,232,484,847 is 7954285416.
Find LCM of 131,309,232,484,847 with Prime Factorization
| 2 | 131, 309, 232, 484, 847 |
| 2 | 131, 309, 116, 242, 847 |
| 11 | 131, 309, 58, 121, 847 |
| 11 | 131, 309, 58, 11, 77 |
| 131, 309, 58, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 11 x 131 x 309 x 58 x 1 x 7 = 7954285416
Therefore, the lowest common multiple of 131,309,232,484,847 is 7954285416.
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 309 x 232 x 484 x 847 = 3849874141344
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
309 : 1, 3, 103, 309
232 : 1, 2, 4, 8, 29, 58, 116, 232
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,309,232,484,847, is 1.
Now, the common factors can be found like this.
131:131
309:3x 103
232:2x 2x 2x 29
484:2x 2x 11x 11
847:7x 11x 11
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 11x 11 = 484
Therefore, the value for common factors is 484.
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 = 3849874141344/(1x484)
LCM = 3849874141344/484
LCM = 7954285416
Thus, we can understand that the LCM of 131,309,232,484,847 is 7954285416.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 131, 309, 232, 484, 847
1. What is the LCM of 131, 309, 232, 484, 847?
Answer: LCM of 131, 309, 232, 484, 847 is 7954285416.
2. How to calculate the LCM of 131, 309, 232, 484, 847?
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, 309, 232, 484, 847.
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}.