LCM of 728, 439, 810, 869, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 728, 439, 810, 869, 561 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 728, 439, 810, 869, 561. So, keep reading to learn more.
Given numbers are 728,439,810,869,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 728,439,810,869,561 is 1912139709480.
Find LCM of 728,439,810,869,561 with Prime Factorization
| 2 | 728, 439, 810, 869, 561 |
| 3 | 364, 439, 405, 869, 561 |
| 11 | 364, 439, 135, 869, 187 |
| 364, 439, 135, 79, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 364 x 439 x 135 x 79 x 17 = 1912139709480
Therefore, the lowest common multiple of 728,439,810,869,561 is 1912139709480.
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.
728 x 439 x 810 x 869 x 561 = 126201220825680
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.
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
439 : 1, 439
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
869 : 1, 11, 79, 869
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,439,810,869,561, is 1.
Now, the common factors can be found like this.
728:2x 2x 2x 7x 13
439:439
810:2x 3x 3x 3x 3x 5
869:11x 79
561:3x 11x 17
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 11 = 66
Therefore, the value for common factors is 66.
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 = 126201220825680/(1x66)
LCM = 126201220825680/66
LCM = 1912139709480
Thus, we can understand that the LCM of 728,439,810,869,561 is 1912139709480.
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FAQs on LCM of 728, 439, 810, 869, 561
1. What is the LCM of 728, 439, 810, 869, 561?
Answer: LCM of 728, 439, 810, 869, 561 is 1912139709480.
2. How to calculate the LCM of 728, 439, 810, 869, 561?
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 728, 439, 810, 869, 561.
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}.