Find the LCM of 231, 538, 850, 539, 850 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 231, 538, 850, 539, 850. So, keep reading to learn more.
Given numbers are 231,538,850,539,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 231,538,850,539,850 is 369727050.
Find LCM of 231,538,850,539,850 with Prime Factorization
2 | 231, 538, 850, 539, 850 |
5 | 231, 269, 425, 539, 425 |
5 | 231, 269, 85, 539, 85 |
7 | 231, 269, 17, 539, 17 |
11 | 33, 269, 17, 77, 17 |
17 | 3, 269, 17, 7, 17 |
3, 269, 1, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 7 x 11 x 17 x 3 x 269 x 1 x 7 x 1 = 369727050
Therefore, the lowest common multiple of 231,538,850,539,850 is 369727050.
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.
231 x 538 x 850 x 539 x 850 = 48397270845000
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.
231 : 1, 3, 7, 11, 21, 33, 77, 231
538 : 1, 2, 269, 538
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
539 : 1, 7, 11, 49, 77, 539
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,538,850,539,850, is 1.
Now, the common factors can be found like this.
231:3x 7x 11
538:2x 269
850:2x 5x 5x 17
539:7x 7x 11
850:2x 5x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5x 5x 7x 11x 17 = 130900
Therefore, the value for common factors is 130900.
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 = 48397270845000/(1x130900)
LCM = 48397270845000/130900
LCM = 369727050
Thus, we can understand that the LCM of 231,538,850,539,850 is 369727050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 231, 538, 850, 539, 850?
Answer: LCM of 231, 538, 850, 539, 850 is 369727050.
2. How to calculate the LCM of 231, 538, 850, 539, 850?
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 231, 538, 850, 539, 850.
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}.