LCM of 865, 731, 936, 816, 839
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 865, 731, 936, 816, 839 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 865, 731, 936, 816, 839. So, keep reading to learn more.
Given numbers are 865,731,936,816,839
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,731,936,816,839 is 993118997520.
Find LCM of 865,731,936,816,839 with Prime Factorization
| 2 | 865, 731, 936, 816, 839 |
| 2 | 865, 731, 468, 408, 839 |
| 2 | 865, 731, 234, 204, 839 |
| 3 | 865, 731, 117, 102, 839 |
| 17 | 865, 731, 39, 34, 839 |
| 865, 43, 39, 2, 839 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 865 x 43 x 39 x 2 x 839 = 993118997520
Therefore, the lowest common multiple of 865,731,936,816,839 is 993118997520.
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.
865 x 731 x 936 x 816 x 839 = 405192550988160
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.
865 : 1, 5, 173, 865
731 : 1, 17, 43, 731
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
839 : 1, 839
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,731,936,816,839, is 1.
Now, the common factors can be found like this.
865:5x 173
731:17x 43
936:2x 2x 2x 3x 3x 13
816:2x 2x 2x 2x 3x 17
839:839
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 17 = 408
Therefore, the value for common factors is 408.
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 = 405192550988160/(1x408)
LCM = 405192550988160/408
LCM = 993118997520
Thus, we can understand that the LCM of 865,731,936,816,839 is 993118997520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 865, 731, 936, 816, 839
1. What is the LCM of 865, 731, 936, 816, 839?
Answer: LCM of 865, 731, 936, 816, 839 is 993118997520.
2. How to calculate the LCM of 865, 731, 936, 816, 839?
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 865, 731, 936, 816, 839.
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}.