LCM of 838, 748, 810, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 838, 748, 810, 984 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 838, 748, 810, 984. So, keep reading to learn more.
Given numbers are 838,748,810,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,748,810,984 is 10408412520.
Find LCM of 838,748,810,984 with Prime Factorization
| 2 | 838, 748, 810, 984 |
| 2 | 419, 374, 405, 492 |
| 3 | 419, 187, 405, 246 |
| 419, 187, 135, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 419 x 187 x 135 x 82 = 10408412520
Therefore, the lowest common multiple of 838,748,810,984 is 10408412520.
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.
838 x 748 x 810 x 984 = 499603800960
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.
838 : 1, 2, 419, 838
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,748,810,984, is 2.
Now, the common factors can be found like this.
838:2x 419
748:2x 2x 11x 17
810:2x 3x 3x 3x 3x 5
984:2x 2x 2x 3x 41
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 3 = 24
Therefore, the value for common factors is 24.
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 = 499603800960/(2x24)
LCM = 499603800960/48
LCM = 10408412520
Thus, we can understand that the LCM of 838,748,810,984 is 10408412520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 838, 748, 810, 984
1. What is the LCM of 838, 748, 810, 984?
Answer: LCM of 838, 748, 810, 984 is 10408412520.
2. How to calculate the LCM of 838, 748, 810, 984?
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 838, 748, 810, 984.
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}.