LCM of 814, 898, 412, 396, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 898, 412, 396, 309 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 814, 898, 412, 396, 309. So, keep reading to learn more.
Given numbers are 814,898,412,396,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,898,412,396,309 is 677611044.
Find LCM of 814,898,412,396,309 with Prime Factorization
| 2 | 814, 898, 412, 396, 309 |
| 2 | 407, 449, 206, 198, 309 |
| 3 | 407, 449, 103, 99, 309 |
| 11 | 407, 449, 103, 33, 103 |
| 103 | 37, 449, 103, 3, 103 |
| 37, 449, 1, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 103 x 37 x 449 x 1 x 3 x 1 = 677611044
Therefore, the lowest common multiple of 814,898,412,396,309 is 677611044.
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.
814 x 898 x 412 x 396 x 309 = 36851199016896
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
898 : 1, 2, 449, 898
412 : 1, 2, 4, 103, 206, 412
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,898,412,396,309, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
898:2x 449
412:2x 2x 103
396:2x 2x 3x 3x 11
309:3x 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 2x 2x 2x 3x 11x 103 = 54384
Therefore, the value for common factors is 54384.
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 = 36851199016896/(1x54384)
LCM = 36851199016896/54384
LCM = 677611044
Thus, we can understand that the LCM of 814,898,412,396,309 is 677611044.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 814, 898, 412, 396, 309
1. What is the LCM of 814, 898, 412, 396, 309?
Answer: LCM of 814, 898, 412, 396, 309 is 677611044.
2. How to calculate the LCM of 814, 898, 412, 396, 309?
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 814, 898, 412, 396, 309.
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}.