LCM of 9916, 8352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9916, 8352 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 9916, 8352. So, keep reading to learn more.
Given numbers are 9916,8352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9916,8352 is 20704608.
Find LCM of 9916,8352 with Prime Factorization
| 2 | 9916, 8352 |
| 2 | 4958, 4176 |
| 2479, 2088 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2479 x 2088 = 20704608
Therefore, the lowest common multiple of 9916,8352 is 20704608.
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.
9916 x 8352 = 82818432
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.
9916 : 1, 2, 4, 37, 67, 74, 134, 148, 268, 2479, 4958, 9916
8352 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176, 8352
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9916,8352, is 4.
Now, the common factors can be found like this.
9916:2x 2x 37x 67
8352:2x 2x 2x 2x 2x 3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 82818432/(4x1)
LCM = 82818432/4
LCM = 20704608
Thus, we can understand that the LCM of 9916,8352 is 20704608.
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FAQs on LCM of 9916, 8352
1. What is the LCM of 9916, 8352?
Answer: LCM of 9916, 8352 is 20704608.
2. How to calculate the LCM of 9916, 8352?
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 9916, 8352.
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}.