LCM of 963, 896, 327, 990, 717
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 896, 327, 990, 717 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 963, 896, 327, 990, 717. So, keep reading to learn more.
Given numbers are 963,896,327,990,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,896,327,990,717 is 1236292928640.
Find LCM of 963,896,327,990,717 with Prime Factorization
| 2 | 963, 896, 327, 990, 717 |
| 3 | 963, 448, 327, 495, 717 |
| 3 | 321, 448, 109, 165, 239 |
| 107, 448, 109, 55, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 107 x 448 x 109 x 55 x 239 = 1236292928640
Therefore, the lowest common multiple of 963,896,327,990,717 is 1236292928640.
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.
963 x 896 x 327 x 990 x 717 = 200279454439680
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.
963 : 1, 3, 9, 107, 321, 963
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
327 : 1, 3, 109, 327
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,896,327,990,717, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
896:2x 2x 2x 2x 2x 2x 2x 7
327:3x 109
990:2x 3x 3x 5x 11
717:3x 239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 200279454439680/(1x162)
LCM = 200279454439680/162
LCM = 1236292928640
Thus, we can understand that the LCM of 963,896,327,990,717 is 1236292928640.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 963, 896, 327, 990, 717
1. What is the LCM of 963, 896, 327, 990, 717?
Answer: LCM of 963, 896, 327, 990, 717 is 1236292928640.
2. How to calculate the LCM of 963, 896, 327, 990, 717?
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 963, 896, 327, 990, 717.
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}.