LCM of 855, 916, 728, 364, 687
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 916, 728, 364, 687 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 855, 916, 728, 364, 687. So, keep reading to learn more.
Given numbers are 855,916,728,364,687
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,916,728,364,687 is 142538760.
Find LCM of 855,916,728,364,687 with Prime Factorization
| 2 | 855, 916, 728, 364, 687 |
| 2 | 855, 458, 364, 182, 687 |
| 3 | 855, 229, 91, 182, 687 |
| 7 | 285, 229, 91, 182, 229 |
| 13 | 285, 229, 13, 26, 229 |
| 229 | 285, 229, 1, 2, 229 |
| 285, 1, 1, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 229 x 285 x 1 x 1 x 2 x 1 = 142538760
Therefore, the lowest common multiple of 855,916,728,364,687 is 142538760.
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.
855 x 916 x 728 x 364 x 687 = 142577530542720
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
916 : 1, 2, 4, 229, 458, 916
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
687 : 1, 3, 229, 687
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,916,728,364,687, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
916:2x 2x 229
728:2x 2x 2x 7x 13
364:2x 2x 7x 13
687:3x 229
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 2x 2x 3x 7x 13x 229 = 1000272
Therefore, the value for common factors is 1000272.
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 = 142577530542720/(1x1000272)
LCM = 142577530542720/1000272
LCM = 142538760
Thus, we can understand that the LCM of 855,916,728,364,687 is 142538760.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 855, 916, 728, 364, 687
1. What is the LCM of 855, 916, 728, 364, 687?
Answer: LCM of 855, 916, 728, 364, 687 is 142538760.
2. How to calculate the LCM of 855, 916, 728, 364, 687?
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 855, 916, 728, 364, 687.
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}.