Find the LCM of 793, 266, 579, 731, 589 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 793, 266, 579, 731, 589. So, keep reading to learn more.
Given numbers are 793,266,579,731,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,266,579,731,589 is 2767658224422.
Find LCM of 793,266,579,731,589 with Prime Factorization
19 | 793, 266, 579, 731, 589 |
793, 14, 579, 731, 31 |
Multiply the prime numbers at the bottom and the left side.
19 x 793 x 14 x 579 x 731 x 31 = 2767658224422
Therefore, the lowest common multiple of 793,266,579,731,589 is 2767658224422.
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.
793 x 266 x 579 x 731 x 589 = 52585506264018
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.
793 : 1, 13, 61, 793
266 : 1, 2, 7, 14, 19, 38, 133, 266
579 : 1, 3, 193, 579
731 : 1, 17, 43, 731
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,266,579,731,589, is 1.
Now, the common factors can be found like this.
793:13x 61
266:2x 7x 19
579:3x 193
731:17x 43
589:19x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 52585506264018/(1x19)
LCM = 52585506264018/19
LCM = 2767658224422
Thus, we can understand that the LCM of 793,266,579,731,589 is 2767658224422.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 793, 266, 579, 731, 589?
Answer: LCM of 793, 266, 579, 731, 589 is 2767658224422.
2. How to calculate the LCM of 793, 266, 579, 731, 589?
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 793, 266, 579, 731, 589.
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}.