LCM of 405, 529, 486, 724, 185
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 529, 486, 724, 185 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 405, 529, 486, 724, 185. So, keep reading to learn more.
Given numbers are 405,529,486,724,185
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,529,486,724,185 is 17217585180.
Find LCM of 405,529,486,724,185 with Prime Factorization
| 2 | 405, 529, 486, 724, 185 |
| 3 | 405, 529, 243, 362, 185 |
| 3 | 135, 529, 81, 362, 185 |
| 3 | 45, 529, 27, 362, 185 |
| 3 | 15, 529, 9, 362, 185 |
| 5 | 5, 529, 3, 362, 185 |
| 1, 529, 3, 362, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 5 x 1 x 529 x 3 x 362 x 37 = 17217585180
Therefore, the lowest common multiple of 405,529,486,724,185 is 17217585180.
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.
405 x 529 x 486 x 724 x 185 = 13946243995800
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
529 : 1, 23, 529
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
724 : 1, 2, 4, 181, 362, 724
185 : 1, 5, 37, 185
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,529,486,724,185, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
529:23x 23
486:2x 3x 3x 3x 3x 3
724:2x 2x 181
185:5x 37
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 3x 3x 3x 5 = 810
Therefore, the value for common factors is 810.
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 = 13946243995800/(1x810)
LCM = 13946243995800/810
LCM = 17217585180
Thus, we can understand that the LCM of 405,529,486,724,185 is 17217585180.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 405, 529, 486, 724, 185
1. What is the LCM of 405, 529, 486, 724, 185?
Answer: LCM of 405, 529, 486, 724, 185 is 17217585180.
2. How to calculate the LCM of 405, 529, 486, 724, 185?
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 405, 529, 486, 724, 185.
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}.