LCM of 311, 529, 280, 713, 574
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 311, 529, 280, 713, 574 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 311, 529, 280, 713, 574. So, keep reading to learn more.
Given numbers are 311,529,280,713,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,529,280,713,574 is 58549021720.
Find LCM of 311,529,280,713,574 with Prime Factorization
| 2 | 311, 529, 280, 713, 574 |
| 7 | 311, 529, 140, 713, 287 |
| 23 | 311, 529, 20, 713, 41 |
| 311, 23, 20, 31, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 311 x 23 x 20 x 31 x 41 = 58549021720
Therefore, the lowest common multiple of 311,529,280,713,574 is 58549021720.
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.
311 x 529 x 280 x 713 x 574 = 18852784993840
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.
311 : 1, 311
529 : 1, 23, 529
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
713 : 1, 23, 31, 713
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,529,280,713,574, is 1.
Now, the common factors can be found like this.
311:311
529:23x 23
280:2x 2x 2x 5x 7
713:23x 31
574:2x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 23 = 322
Therefore, the value for common factors is 322.
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 = 18852784993840/(1x322)
LCM = 18852784993840/322
LCM = 58549021720
Thus, we can understand that the LCM of 311,529,280,713,574 is 58549021720.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 311, 529, 280, 713, 574
1. What is the LCM of 311, 529, 280, 713, 574?
Answer: LCM of 311, 529, 280, 713, 574 is 58549021720.
2. How to calculate the LCM of 311, 529, 280, 713, 574?
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 311, 529, 280, 713, 574.
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}.