LCM of 904, 442, 806, 382
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 904, 442, 806, 382 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 904, 442, 806, 382. So, keep reading to learn more.
Given numbers are 904,442,806,382
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,442,806,382 is 1182921064.
Find LCM of 904,442,806,382 with Prime Factorization
| 2 | 904, 442, 806, 382 |
| 13 | 452, 221, 403, 191 |
| 452, 17, 31, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 452 x 17 x 31 x 191 = 1182921064
Therefore, the lowest common multiple of 904,442,806,382 is 1182921064.
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.
904 x 442 x 806 x 382 = 123023790656
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
442 : 1, 2, 13, 17, 26, 34, 221, 442
806 : 1, 2, 13, 26, 31, 62, 403, 806
382 : 1, 2, 191, 382
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,442,806,382, is 2.
Now, the common factors can be found like this.
904:2x 2x 2x 113
442:2x 13x 17
806:2x 13x 31
382:2x 191
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 13 = 52
Therefore, the value for common factors is 52.
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 = 123023790656/(2x52)
LCM = 123023790656/104
LCM = 1182921064
Thus, we can understand that the LCM of 904,442,806,382 is 1182921064.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 904, 442, 806, 382
1. What is the LCM of 904, 442, 806, 382?
Answer: LCM of 904, 442, 806, 382 is 1182921064.
2. How to calculate the LCM of 904, 442, 806, 382?
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 904, 442, 806, 382.
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}.