LCM of 844, 272, 884, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 272, 884, 286 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 844, 272, 884, 286. So, keep reading to learn more.
Given numbers are 844,272,884,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,272,884,286 is 8207056.
Find LCM of 844,272,884,286 with Prime Factorization
| 2 | 844, 272, 884, 286 |
| 2 | 422, 136, 442, 143 |
| 13 | 211, 68, 221, 143 |
| 17 | 211, 68, 17, 11 |
| 211, 4, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 17 x 211 x 4 x 1 x 11 = 8207056
Therefore, the lowest common multiple of 844,272,884,286 is 8207056.
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.
844 x 272 x 884 x 286 = 58040300032
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.
844 : 1, 2, 4, 211, 422, 844
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
286 : 1, 2, 11, 13, 22, 26, 143, 286
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,272,884,286, is 2.
Now, the common factors can be found like this.
844:2x 2x 211
272:2x 2x 2x 2x 17
884:2x 2x 13x 17
286:2x 11x 13
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 13x 17 = 3536
Therefore, the value for common factors is 3536.
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 = 58040300032/(2x3536)
LCM = 58040300032/7072
LCM = 8207056
Thus, we can understand that the LCM of 844,272,884,286 is 8207056.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 844, 272, 884, 286
1. What is the LCM of 844, 272, 884, 286?
Answer: LCM of 844, 272, 884, 286 is 8207056.
2. How to calculate the LCM of 844, 272, 884, 286?
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 844, 272, 884, 286.
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}.