LCM of 317, 573, 388, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 317, 573, 388, 813 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, 573, 388, 813. So, keep reading to learn more.
Given numbers are 317,573,388,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,573,388,813 is 19099187868.
Find LCM of 317,573,388,813 with Prime Factorization
| 3 | 317, 573, 388, 813 |
| 317, 191, 388, 271 |
Multiply the prime numbers at the bottom and the left side.
3 x 317 x 191 x 388 x 271 = 19099187868
Therefore, the lowest common multiple of 317,573,388,813 is 19099187868.
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 573 x 388 x 813 = 57297563604
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
573 : 1, 3, 191, 573
388 : 1, 2, 4, 97, 194, 388
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,573,388,813, is 1.
Now, the common factors can be found like this.
317:317
573:3x 191
388:2x 2x 97
813:3x 271
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 57297563604/(1x3)
LCM = 57297563604/3
LCM = 19099187868
Thus, we can understand that the LCM of 317,573,388,813 is 19099187868.
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FAQs on LCM of 317, 573, 388, 813
1. What is the LCM of 317, 573, 388, 813?
Answer: LCM of 317, 573, 388, 813 is 19099187868.
2. How to calculate the LCM of 317, 573, 388, 813?
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, 573, 388, 813.
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}.