LCM of 793, 663, 819, 579
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 663, 819, 579 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, 663, 819, 579. So, keep reading to learn more.
Given numbers are 793,663,819,579
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,663,819,579 is 163915479.
Find LCM of 793,663,819,579 with Prime Factorization
| 3 | 793, 663, 819, 579 |
| 13 | 793, 221, 273, 193 |
| 61, 17, 21, 193 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 61 x 17 x 21 x 193 = 163915479
Therefore, the lowest common multiple of 793,663,819,579 is 163915479.
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 663 x 819 x 579 = 249315443559
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
663 : 1, 3, 13, 17, 39, 51, 221, 663
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
579 : 1, 3, 193, 579
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,663,819,579, is 1.
Now, the common factors can be found like this.
793:13x 61
663:3x 13x 17
819:3x 3x 7x 13
579:3x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13x 13 = 1521
Therefore, the value for common factors is 1521.
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 = 249315443559/(1x1521)
LCM = 249315443559/1521
LCM = 163915479
Thus, we can understand that the LCM of 793,663,819,579 is 163915479.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 793, 663, 819, 579
1. What is the LCM of 793, 663, 819, 579?
Answer: LCM of 793, 663, 819, 579 is 163915479.
2. How to calculate the LCM of 793, 663, 819, 579?
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, 663, 819, 579.
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}.