LCM of 729, 441, 704, 939, 484
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 729, 441, 704, 939, 484 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 729, 441, 704, 939, 484. So, keep reading to learn more.
Given numbers are 729,441,704,939,484
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,441,704,939,484 is 86583131712.
Find LCM of 729,441,704,939,484 with Prime Factorization
| 2 | 729, 441, 704, 939, 484 |
| 2 | 729, 441, 352, 939, 242 |
| 3 | 729, 441, 176, 939, 121 |
| 3 | 243, 147, 176, 313, 121 |
| 11 | 81, 49, 176, 313, 121 |
| 81, 49, 16, 313, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 81 x 49 x 16 x 313 x 11 = 86583131712
Therefore, the lowest common multiple of 729,441,704,939,484 is 86583131712.
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.
729 x 441 x 704 x 939 x 484 = 102860760473856
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.
729 : 1, 3, 9, 27, 81, 243, 729
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
939 : 1, 3, 313, 939
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,441,704,939,484, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
441:3x 3x 7x 7
704:2x 2x 2x 2x 2x 2x 11
939:3x 313
484:2x 2x 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 3x 3x 3x 11 = 1188
Therefore, the value for common factors is 1188.
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 = 102860760473856/(1x1188)
LCM = 102860760473856/1188
LCM = 86583131712
Thus, we can understand that the LCM of 729,441,704,939,484 is 86583131712.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 729, 441, 704, 939, 484
1. What is the LCM of 729, 441, 704, 939, 484?
Answer: LCM of 729, 441, 704, 939, 484 is 86583131712.
2. How to calculate the LCM of 729, 441, 704, 939, 484?
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 729, 441, 704, 939, 484.
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}.