Find the LCM of 311, 568, 497 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 311, 568, 497. So, keep reading to learn more.
Given numbers are 311,568,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,568,497 is 1236536.
Find LCM of 311,568,497 with Prime Factorization
71 | 311, 568, 497 |
311, 8, 7 |
Multiply the prime numbers at the bottom and the left side.
71 x 311 x 8 x 7 = 1236536
Therefore, the lowest common multiple of 311,568,497 is 1236536.
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.
311 x 568 x 497 = 87794056
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.
311 : 1, 311
568 : 1, 2, 4, 8, 71, 142, 284, 568
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,568,497, is 1.
Now, the common factors can be found like this.
311:311
568:2x 2x 2x 71
497:7x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
71 = 71
Therefore, the value for common factors is 71.
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 = 87794056/(1x71)
LCM = 87794056/71
LCM = 1236536
Thus, we can understand that the LCM of 311,568,497 is 1236536.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 311, 568, 497?
Answer: LCM of 311, 568, 497 is 1236536.
2. How to calculate the LCM of 311, 568, 497?
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 311, 568, 497.
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}.