LCM of 538, 543, 934, 417, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 543, 934, 417, 810 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 538, 543, 934, 417, 810. So, keep reading to learn more.
Given numbers are 538,543,934,417,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,543,934,417,810 is 2560044736170.
Find LCM of 538,543,934,417,810 with Prime Factorization
| 2 | 538, 543, 934, 417, 810 |
| 3 | 269, 543, 467, 417, 405 |
| 269, 181, 467, 139, 135 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 269 x 181 x 467 x 139 x 135 = 2560044736170
Therefore, the lowest common multiple of 538,543,934,417,810 is 2560044736170.
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.
538 x 543 x 934 x 417 x 810 = 92161610502120
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.
538 : 1, 2, 269, 538
543 : 1, 3, 181, 543
934 : 1, 2, 467, 934
417 : 1, 3, 139, 417
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,543,934,417,810, is 1.
Now, the common factors can be found like this.
538:2x 269
543:3x 181
934:2x 467
417:3x 139
810:2x 3x 3x 3x 3x 5
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 92161610502120/(1x36)
LCM = 92161610502120/36
LCM = 2560044736170
Thus, we can understand that the LCM of 538,543,934,417,810 is 2560044736170.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 538, 543, 934, 417, 810
1. What is the LCM of 538, 543, 934, 417, 810?
Answer: LCM of 538, 543, 934, 417, 810 is 2560044736170.
2. How to calculate the LCM of 538, 543, 934, 417, 810?
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 538, 543, 934, 417, 810.
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}.