Find the LCM of 815, 887, 997, 326, 517 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 815, 887, 997, 326, 517. So, keep reading to learn more.
Given numbers are 815,887,997,326,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 815,887,997,326,517 is 745241318690.
Find LCM of 815,887,997,326,517 with Prime Factorization
163 | 815, 887, 997, 326, 517 |
5, 887, 997, 2, 517 |
Multiply the prime numbers at the bottom and the left side.
163 x 5 x 887 x 997 x 2 x 517 = 745241318690
Therefore, the lowest common multiple of 815,887,997,326,517 is 745241318690.
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.
815 x 887 x 997 x 326 x 517 = 121474334946470
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.
815 : 1, 5, 163, 815
887 : 1, 887
997 : 1, 997
326 : 1, 2, 163, 326
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,887,997,326,517, is 1.
Now, the common factors can be found like this.
815:5x 163
887:887
997:997
326:2x 163
517:11x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
163 = 163
Therefore, the value for common factors is 163.
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 = 121474334946470/(1x163)
LCM = 121474334946470/163
LCM = 745241318690
Thus, we can understand that the LCM of 815,887,997,326,517 is 745241318690.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 815, 887, 997, 326, 517?
Answer: LCM of 815, 887, 997, 326, 517 is 745241318690.
2. How to calculate the LCM of 815, 887, 997, 326, 517?
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 815, 887, 997, 326, 517.
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}.