LCM of 8768, 9344
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8768, 9344 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 8768, 9344. So, keep reading to learn more.
Given numbers are 8768,9344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8768,9344 is 1280128.
Find LCM of 8768,9344 with Prime Factorization
| 2 | 8768, 9344 |
| 2 | 4384, 4672 |
| 2 | 2192, 2336 |
| 2 | 1096, 1168 |
| 2 | 548, 584 |
| 2 | 274, 292 |
| 137, 146 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 137 x 146 = 1280128
Therefore, the lowest common multiple of 8768,9344 is 1280128.
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.
8768 x 9344 = 81928192
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.
8768 : 1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768
9344 : 1, 2, 4, 8, 16, 32, 64, 73, 128, 146, 292, 584, 1168, 2336, 4672, 9344
64 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8768,9344, is 64.
Now, the common factors can be found like this.
8768:2x 2x 2x 2x 2x 2x 137
9344:2x 2x 2x 2x 2x 2x 2x 73
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 = 81928192/(64x1)
LCM = 81928192/64
LCM = 1280128
Thus, we can understand that the LCM of 8768,9344 is 1280128.
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FAQs on LCM of 8768, 9344
1. What is the LCM of 8768, 9344?
Answer: LCM of 8768, 9344 is 1280128.
2. How to calculate the LCM of 8768, 9344?
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 8768, 9344.
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}.