LCM of 422, 833, 289, 442, 771
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 422, 833, 289, 442, 771 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 422, 833, 289, 442, 771. So, keep reading to learn more.
Given numbers are 422,833,289,442,771
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,833,289,442,771 is 59896866666.
Find LCM of 422,833,289,442,771 with Prime Factorization
| 2 | 422, 833, 289, 442, 771 |
| 17 | 211, 833, 289, 221, 771 |
| 211, 49, 17, 13, 771 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 211 x 49 x 17 x 13 x 771 = 59896866666
Therefore, the lowest common multiple of 422,833,289,442,771 is 59896866666.
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.
422 x 833 x 289 x 442 x 771 = 34620388932948
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.
422 : 1, 2, 211, 422
833 : 1, 7, 17, 49, 119, 833
289 : 1, 17, 289
442 : 1, 2, 13, 17, 26, 34, 221, 442
771 : 1, 3, 257, 771
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,833,289,442,771, is 1.
Now, the common factors can be found like this.
422:2x 211
833:7x 7x 17
289:17x 17
442:2x 13x 17
771:3x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 17 = 578
Therefore, the value for common factors is 578.
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 = 34620388932948/(1x578)
LCM = 34620388932948/578
LCM = 59896866666
Thus, we can understand that the LCM of 422,833,289,442,771 is 59896866666.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 422, 833, 289, 442, 771
1. What is the LCM of 422, 833, 289, 442, 771?
Answer: LCM of 422, 833, 289, 442, 771 is 59896866666.
2. How to calculate the LCM of 422, 833, 289, 442, 771?
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 422, 833, 289, 442, 771.
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}.