Find the LCM of 317, 341, 706, 820, 793 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 317, 341, 706, 820, 793. So, keep reading to learn more.
Given numbers are 317,341,706,820,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,341,706,820,793 is 24812777792660.
Find LCM of 317,341,706,820,793 with Prime Factorization
2 | 317, 341, 706, 820, 793 |
317, 341, 353, 410, 793 |
Multiply the prime numbers at the bottom and the left side.
2 x 317 x 341 x 353 x 410 x 793 = 24812777792660
Therefore, the lowest common multiple of 317,341,706,820,793 is 24812777792660.
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.
317 x 341 x 706 x 820 x 793 = 49625555585320
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.
317 : 1, 317
341 : 1, 11, 31, 341
706 : 1, 2, 353, 706
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,341,706,820,793, is 1.
Now, the common factors can be found like this.
317:317
341:11x 31
706:2x 353
820:2x 2x 5x 41
793:13x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 49625555585320/(1x2)
LCM = 49625555585320/2
LCM = 24812777792660
Thus, we can understand that the LCM of 317,341,706,820,793 is 24812777792660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 317, 341, 706, 820, 793?
Answer: LCM of 317, 341, 706, 820, 793 is 24812777792660.
2. How to calculate the LCM of 317, 341, 706, 820, 793?
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 317, 341, 706, 820, 793.
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}.