LCM of 306, 777, 204, 813, 791
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 306, 777, 204, 813, 791 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 306, 777, 204, 813, 791. So, keep reading to learn more.
Given numbers are 306,777,204,813,791
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 306,777,204,813,791 is 4853990484.
Find LCM of 306,777,204,813,791 with Prime Factorization
| 2 | 306, 777, 204, 813, 791 |
| 3 | 153, 777, 102, 813, 791 |
| 7 | 51, 259, 34, 271, 791 |
| 17 | 51, 37, 34, 271, 113 |
| 3, 37, 2, 271, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 3 x 37 x 2 x 271 x 113 = 4853990484
Therefore, the lowest common multiple of 306,777,204,813,791 is 4853990484.
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.
306 x 777 x 204 x 813 x 791 = 31191742850184
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.
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
777 : 1, 3, 7, 21, 37, 111, 259, 777
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
813 : 1, 3, 271, 813
791 : 1, 7, 113, 791
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,777,204,813,791, is 1.
Now, the common factors can be found like this.
306:2x 3x 3x 17
777:3x 7x 37
204:2x 2x 3x 17
813:3x 271
791:7x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7x 17 = 6426
Therefore, the value for common factors is 6426.
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 = 31191742850184/(1x6426)
LCM = 31191742850184/6426
LCM = 4853990484
Thus, we can understand that the LCM of 306,777,204,813,791 is 4853990484.
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FAQs on LCM of 306, 777, 204, 813, 791
1. What is the LCM of 306, 777, 204, 813, 791?
Answer: LCM of 306, 777, 204, 813, 791 is 4853990484.
2. How to calculate the LCM of 306, 777, 204, 813, 791?
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 306, 777, 204, 813, 791.
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}.