Find the LCM of 813, 529, 289, 731, 616 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 813, 529, 289, 731, 616. So, keep reading to learn more.
Given numbers are 813,529,289,731,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,529,289,731,616 is 3292253197464.
Find LCM of 813,529,289,731,616 with Prime Factorization
17 | 813, 529, 289, 731, 616 |
813, 529, 17, 43, 616 |
Multiply the prime numbers at the bottom and the left side.
17 x 813 x 529 x 17 x 43 x 616 = 3292253197464
Therefore, the lowest common multiple of 813,529,289,731,616 is 3292253197464.
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.
813 x 529 x 289 x 731 x 616 = 55968304356888
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.
813 : 1, 3, 271, 813
529 : 1, 23, 529
289 : 1, 17, 289
731 : 1, 17, 43, 731
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,529,289,731,616, is 1.
Now, the common factors can be found like this.
813:3x 271
529:23x 23
289:17x 17
731:17x 43
616:2x 2x 2x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 55968304356888/(1x17)
LCM = 55968304356888/17
LCM = 3292253197464
Thus, we can understand that the LCM of 813,529,289,731,616 is 3292253197464.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 813, 529, 289, 731, 616?
Answer: LCM of 813, 529, 289, 731, 616 is 3292253197464.
2. How to calculate the LCM of 813, 529, 289, 731, 616?
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 813, 529, 289, 731, 616.
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}.