Find the LCM of 793, 545, 208, 793, 339 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, 545, 208, 793, 339. So, keep reading to learn more.
Given numbers are 793,545,208,793,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,545,208,793,339 is 2344171440.
Find LCM of 793,545,208,793,339 with Prime Factorization
13 | 793, 545, 208, 793, 339 |
61 | 61, 545, 16, 61, 339 |
1, 545, 16, 1, 339 |
Multiply the prime numbers at the bottom and the left side.
13 x 61 x 1 x 545 x 16 x 1 x 339 = 2344171440
Therefore, the lowest common multiple of 793,545,208,793,339 is 2344171440.
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 545 x 208 x 793 x 339 = 24166063374960
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
545 : 1, 5, 109, 545
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
793 : 1, 13, 61, 793
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,545,208,793,339, is 1.
Now, the common factors can be found like this.
793:13x 61
545:5x 109
208:2x 2x 2x 2x 13
793:13x 61
339:3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13x 61 = 10309
Therefore, the value for common factors is 10309.
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 = 24166063374960/(1x10309)
LCM = 24166063374960/10309
LCM = 2344171440
Thus, we can understand that the LCM of 793,545,208,793,339 is 2344171440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 793, 545, 208, 793, 339?
Answer: LCM of 793, 545, 208, 793, 339 is 2344171440.
2. How to calculate the LCM of 793, 545, 208, 793, 339?
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, 545, 208, 793, 339.
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}.