LCM of 808, 176, 944, 442, 833
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 176, 944, 442, 833 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 808, 176, 944, 442, 833. So, keep reading to learn more.
Given numbers are 808,176,944,442,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,176,944,442,833 is 11357281936.
Find LCM of 808,176,944,442,833 with Prime Factorization
| 2 | 808, 176, 944, 442, 833 |
| 2 | 404, 88, 472, 221, 833 |
| 2 | 202, 44, 236, 221, 833 |
| 2 | 101, 22, 118, 221, 833 |
| 17 | 101, 11, 59, 221, 833 |
| 101, 11, 59, 13, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 17 x 101 x 11 x 59 x 13 x 49 = 11357281936
Therefore, the lowest common multiple of 808,176,944,442,833 is 11357281936.
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.
808 x 176 x 944 x 442 x 833 = 49426890985472
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
442 : 1, 2, 13, 17, 26, 34, 221, 442
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,176,944,442,833, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
176:2x 2x 2x 2x 11
944:2x 2x 2x 2x 59
442:2x 13x 17
833:7x 7x 17
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 2x 2x 2x 2x 17 = 4352
Therefore, the value for common factors is 4352.
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 = 49426890985472/(1x4352)
LCM = 49426890985472/4352
LCM = 11357281936
Thus, we can understand that the LCM of 808,176,944,442,833 is 11357281936.
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FAQs on LCM of 808, 176, 944, 442, 833
1. What is the LCM of 808, 176, 944, 442, 833?
Answer: LCM of 808, 176, 944, 442, 833 is 11357281936.
2. How to calculate the LCM of 808, 176, 944, 442, 833?
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 808, 176, 944, 442, 833.
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}.