LCM of 838, 987, 731, 833
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 838, 987, 731, 833 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, 987, 731, 833. So, keep reading to learn more.
Given numbers are 838,987,731,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,987,731,833 is 4232301402.
Find LCM of 838,987,731,833 with Prime Factorization
| 7 | 838, 987, 731, 833 |
| 17 | 838, 141, 731, 119 |
| 838, 141, 43, 7 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 838 x 141 x 43 x 7 = 4232301402
Therefore, the lowest common multiple of 838,987,731,833 is 4232301402.
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 987 x 731 x 833 = 503643866838
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
987 : 1, 3, 7, 21, 47, 141, 329, 987
731 : 1, 17, 43, 731
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,987,731,833, is 1.
Now, the common factors can be found like this.
838:2x 419
987:3x 7x 47
731:17x 43
833:7x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 17 = 119
Therefore, the value for common factors is 119.
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 = 503643866838/(1x119)
LCM = 503643866838/119
LCM = 4232301402
Thus, we can understand that the LCM of 838,987,731,833 is 4232301402.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 838, 987, 731, 833
1. What is the LCM of 838, 987, 731, 833?
Answer: LCM of 838, 987, 731, 833 is 4232301402.
2. How to calculate the LCM of 838, 987, 731, 833?
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, 987, 731, 833.
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}.