Find the LCM of 583, 212, 793, 749, 717 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 583, 212, 793, 749, 717. So, keep reading to learn more.
Given numbers are 583,212,793,749,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,212,793,749,717 is 993122238108.
Find LCM of 583,212,793,749,717 with Prime Factorization
53 | 583, 212, 793, 749, 717 |
11, 4, 793, 749, 717 |
Multiply the prime numbers at the bottom and the left side.
53 x 11 x 4 x 793 x 749 x 717 = 993122238108
Therefore, the lowest common multiple of 583,212,793,749,717 is 993122238108.
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.
583 x 212 x 793 x 749 x 717 = 52635478619724
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.
583 : 1, 11, 53, 583
212 : 1, 2, 4, 53, 106, 212
793 : 1, 13, 61, 793
749 : 1, 7, 107, 749
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,212,793,749,717, is 1.
Now, the common factors can be found like this.
583:11x 53
212:2x 2x 53
793:13x 61
749:7x 107
717:3x 239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
53 = 53
Therefore, the value for common factors is 53.
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 = 52635478619724/(1x53)
LCM = 52635478619724/53
LCM = 993122238108
Thus, we can understand that the LCM of 583,212,793,749,717 is 993122238108.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 583, 212, 793, 749, 717?
Answer: LCM of 583, 212, 793, 749, 717 is 993122238108.
2. How to calculate the LCM of 583, 212, 793, 749, 717?
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 583, 212, 793, 749, 717.
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}.