LCM of 507, 810, 634, 754, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 810, 634, 754, 538 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 507, 810, 634, 754, 538. So, keep reading to learn more.
Given numbers are 507,810,634,754,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,810,634,754,538 is 338517608130.
Find LCM of 507,810,634,754,538 with Prime Factorization
| 2 | 507, 810, 634, 754, 538 |
| 3 | 507, 405, 317, 377, 269 |
| 13 | 169, 135, 317, 377, 269 |
| 13, 135, 317, 29, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 13 x 135 x 317 x 29 x 269 = 338517608130
Therefore, the lowest common multiple of 507,810,634,754,538 is 338517608130.
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.
507 x 810 x 634 x 754 x 538 = 105617493736560
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.
507 : 1, 3, 13, 39, 169, 507
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
634 : 1, 2, 317, 634
754 : 1, 2, 13, 26, 29, 58, 377, 754
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,810,634,754,538, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
810:2x 3x 3x 3x 3x 5
634:2x 317
754:2x 13x 29
538:2x 269
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 2x 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 105617493736560/(1x312)
LCM = 105617493736560/312
LCM = 338517608130
Thus, we can understand that the LCM of 507,810,634,754,538 is 338517608130.
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FAQs on LCM of 507, 810, 634, 754, 538
1. What is the LCM of 507, 810, 634, 754, 538?
Answer: LCM of 507, 810, 634, 754, 538 is 338517608130.
2. How to calculate the LCM of 507, 810, 634, 754, 538?
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 507, 810, 634, 754, 538.
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}.