LCM of 459, 916, 695, 715, 687
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 916, 695, 715, 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 459, 916, 695, 715, 687. So, keep reading to learn more.
Given numbers are 459,916,695,715,687
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,916,695,715,687 is 41785826940.
Find LCM of 459,916,695,715,687 with Prime Factorization
| 3 | 459, 916, 695, 715, 687 |
| 5 | 153, 916, 695, 715, 229 |
| 229 | 153, 916, 139, 143, 229 |
| 153, 4, 139, 143, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 229 x 153 x 4 x 139 x 143 x 1 = 41785826940
Therefore, the lowest common multiple of 459,916,695,715,687 is 41785826940.
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 916 x 695 x 715 x 687 = 143534315538900
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
916 : 1, 2, 4, 229, 458, 916
695 : 1, 5, 139, 695
715 : 1, 5, 11, 13, 55, 65, 143, 715
687 : 1, 3, 229, 687
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,916,695,715,687, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
916:2x 2x 229
695:5x 139
715:5x 11x 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.
3x 5x 229 = 3435
Therefore, the value for common factors is 3435.
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 = 143534315538900/(1x3435)
LCM = 143534315538900/3435
LCM = 41785826940
Thus, we can understand that the LCM of 459,916,695,715,687 is 41785826940.
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, 916, 695, 715, 687
1. What is the LCM of 459, 916, 695, 715, 687?
Answer: LCM of 459, 916, 695, 715, 687 is 41785826940.
2. How to calculate the LCM of 459, 916, 695, 715, 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 459, 916, 695, 715, 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}.