LCM of 459, 704, 726, 715
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 704, 726, 715 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 459, 704, 726, 715. So, keep reading to learn more.
Given numbers are 459,704,726,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,704,726,715 is 231042240.
Find LCM of 459,704,726,715 with Prime Factorization
| 2 | 459, 704, 726, 715 |
| 3 | 459, 352, 363, 715 |
| 11 | 153, 352, 121, 715 |
| 153, 32, 11, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 153 x 32 x 11 x 65 = 231042240
Therefore, the lowest common multiple of 459,704,726,715 is 231042240.
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.
459 x 704 x 726 x 715 = 167736666240
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,704,726,715, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
704:2x 2x 2x 2x 2x 2x 11
726:2x 3x 11x 11
715:5x 11x 13
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 11x 11 = 726
Therefore, the value for common factors is 726.
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 = 167736666240/(1x726)
LCM = 167736666240/726
LCM = 231042240
Thus, we can understand that the LCM of 459,704,726,715 is 231042240.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 459, 704, 726, 715
1. What is the LCM of 459, 704, 726, 715?
Answer: LCM of 459, 704, 726, 715 is 231042240.
2. How to calculate the LCM of 459, 704, 726, 715?
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 459, 704, 726, 715.
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}.