LCM of 844, 508, 908, 844
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 508, 908, 844 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, 508, 908, 844. So, keep reading to learn more.
Given numbers are 844,508,908,844
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,508,908,844 is 24331676.
Find LCM of 844,508,908,844 with Prime Factorization
| 2 | 844, 508, 908, 844 |
| 2 | 422, 254, 454, 422 |
| 211 | 211, 127, 227, 211 |
| 1, 127, 227, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 211 x 1 x 127 x 227 x 1 = 24331676
Therefore, the lowest common multiple of 844,508,908,844 is 24331676.
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 508 x 908 x 844 = 328574952704
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
508 : 1, 2, 4, 127, 254, 508
908 : 1, 2, 4, 227, 454, 908
844 : 1, 2, 4, 211, 422, 844
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,508,908,844, is 4.
Now, the common factors can be found like this.
844:2x 2x 211
508:2x 2x 127
908:2x 2x 227
844:2x 2x 211
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 211 = 3376
Therefore, the value for common factors is 3376.
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 = 328574952704/(4x3376)
LCM = 328574952704/13504
LCM = 24331676
Thus, we can understand that the LCM of 844,508,908,844 is 24331676.
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, 508, 908, 844
1. What is the LCM of 844, 508, 908, 844?
Answer: LCM of 844, 508, 908, 844 is 24331676.
2. How to calculate the LCM of 844, 508, 908, 844?
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, 508, 908, 844.
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}.