LCM of 799, 388, 612, 810, 634
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 388, 612, 810, 634 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 799, 388, 612, 810, 634. So, keep reading to learn more.
Given numbers are 799,388,612,810,634
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,388,612,810,634 is 39800890620.
Find LCM of 799,388,612,810,634 with Prime Factorization
| 2 | 799, 388, 612, 810, 634 |
| 2 | 799, 194, 306, 405, 317 |
| 3 | 799, 97, 153, 405, 317 |
| 3 | 799, 97, 51, 135, 317 |
| 17 | 799, 97, 17, 45, 317 |
| 47, 97, 1, 45, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 47 x 97 x 1 x 45 x 317 = 39800890620
Therefore, the lowest common multiple of 799,388,612,810,634 is 39800890620.
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.
799 x 388 x 612 x 810 x 634 = 97432580237760
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.
799 : 1, 17, 47, 799
388 : 1, 2, 4, 97, 194, 388
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,388,612,810,634, is 1.
Now, the common factors can be found like this.
799:17x 47
388:2x 2x 97
612:2x 2x 3x 3x 17
810:2x 3x 3x 3x 3x 5
634:2x 317
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 2x 3x 3x 17 = 2448
Therefore, the value for common factors is 2448.
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 = 97432580237760/(1x2448)
LCM = 97432580237760/2448
LCM = 39800890620
Thus, we can understand that the LCM of 799,388,612,810,634 is 39800890620.
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FAQs on LCM of 799, 388, 612, 810, 634
1. What is the LCM of 799, 388, 612, 810, 634?
Answer: LCM of 799, 388, 612, 810, 634 is 39800890620.
2. How to calculate the LCM of 799, 388, 612, 810, 634?
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 799, 388, 612, 810, 634.
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}.