LCM of 405, 331, 722, 120, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 331, 722, 120, 513 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, 331, 722, 120, 513. So, keep reading to learn more.
Given numbers are 405,331,722,120,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,331,722,120,513 is 387150840.
Find LCM of 405,331,722,120,513 with Prime Factorization
| 2 | 405, 331, 722, 120, 513 |
| 3 | 405, 331, 361, 60, 513 |
| 3 | 135, 331, 361, 20, 171 |
| 3 | 45, 331, 361, 20, 57 |
| 5 | 15, 331, 361, 20, 19 |
| 19 | 3, 331, 361, 4, 19 |
| 3, 331, 1, 4, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 19 x 3 x 331 x 1 x 4 x 19 = 387150840
Therefore, the lowest common multiple of 405,331,722,120,513 is 387150840.
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 331 x 722 x 120 x 513 = 5958251427600
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
331 : 1, 331
722 : 1, 2, 19, 38, 361, 722
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,331,722,120,513, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
331:331
722:2x 19x 19
120:2x 2x 2x 3x 5
513:3x 3x 3x 19
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 5x 19 = 15390
Therefore, the value for common factors is 15390.
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 = 5958251427600/(1x15390)
LCM = 5958251427600/15390
LCM = 387150840
Thus, we can understand that the LCM of 405,331,722,120,513 is 387150840.
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, 331, 722, 120, 513
1. What is the LCM of 405, 331, 722, 120, 513?
Answer: LCM of 405, 331, 722, 120, 513 is 387150840.
2. How to calculate the LCM of 405, 331, 722, 120, 513?
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, 331, 722, 120, 513.
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}.