LCM of 884, 731, 702, 869, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 731, 702, 869, 682 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 884, 731, 702, 869, 682. So, keep reading to learn more.
Given numbers are 884,731,702,869,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,731,702,869,682 is 27648142236.
Find LCM of 884,731,702,869,682 with Prime Factorization
| 2 | 884, 731, 702, 869, 682 |
| 11 | 442, 731, 351, 869, 341 |
| 13 | 442, 731, 351, 79, 31 |
| 17 | 34, 731, 27, 79, 31 |
| 2, 43, 27, 79, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 17 x 2 x 43 x 27 x 79 x 31 = 27648142236
Therefore, the lowest common multiple of 884,731,702,869,682 is 27648142236.
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.
884 x 731 x 702 x 869 x 682 = 268850535102864
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
731 : 1, 17, 43, 731
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
869 : 1, 11, 79, 869
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,731,702,869,682, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
731:17x 43
702:2x 3x 3x 3x 13
869:11x 79
682:2x 11x 31
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 11x 13x 17 = 9724
Therefore, the value for common factors is 9724.
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 = 268850535102864/(1x9724)
LCM = 268850535102864/9724
LCM = 27648142236
Thus, we can understand that the LCM of 884,731,702,869,682 is 27648142236.
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FAQs on LCM of 884, 731, 702, 869, 682
1. What is the LCM of 884, 731, 702, 869, 682?
Answer: LCM of 884, 731, 702, 869, 682 is 27648142236.
2. How to calculate the LCM of 884, 731, 702, 869, 682?
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 884, 731, 702, 869, 682.
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}.