LCM of 844, 409, 913, 378, 927
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 409, 913, 378, 927 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, 409, 913, 378, 927. So, keep reading to learn more.
Given numbers are 844,409,913,378,927
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,409,913,378,927 is 6135296575716.
Find LCM of 844,409,913,378,927 with Prime Factorization
| 2 | 844, 409, 913, 378, 927 |
| 3 | 422, 409, 913, 189, 927 |
| 3 | 422, 409, 913, 63, 309 |
| 422, 409, 913, 21, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 422 x 409 x 913 x 21 x 103 = 6135296575716
Therefore, the lowest common multiple of 844,409,913,378,927 is 6135296575716.
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 409 x 913 x 378 x 927 = 110435338362888
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
409 : 1, 409
913 : 1, 11, 83, 913
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
927 : 1, 3, 9, 103, 309, 927
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,409,913,378,927, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
409:409
913:11x 83
378:2x 3x 3x 3x 7
927:3x 3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 110435338362888/(1x18)
LCM = 110435338362888/18
LCM = 6135296575716
Thus, we can understand that the LCM of 844,409,913,378,927 is 6135296575716.
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FAQs on LCM of 844, 409, 913, 378, 927
1. What is the LCM of 844, 409, 913, 378, 927?
Answer: LCM of 844, 409, 913, 378, 927 is 6135296575716.
2. How to calculate the LCM of 844, 409, 913, 378, 927?
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, 409, 913, 378, 927.
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}.