LCM of 8885, 9680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8885, 9680 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 8885, 9680. So, keep reading to learn more.
Given numbers are 8885,9680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8885,9680 is 17201360.
Find LCM of 8885,9680 with Prime Factorization
| 5 | 8885, 9680 |
| 1777, 1936 |
Multiply the prime numbers at the bottom and the left side.
5 x 1777 x 1936 = 17201360
Therefore, the lowest common multiple of 8885,9680 is 17201360.
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.
8885 x 9680 = 86006800
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.
8885 : 1, 5, 1777, 8885
9680 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 121, 176, 220, 242, 440, 484, 605, 880, 968, 1210, 1936, 2420, 4840, 9680
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8885,9680, is 5.
Now, the common factors can be found like this.
8885:5x 1777
9680:2x 2x 2x 2x 5x 11x 11
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 = 86006800/(5x1)
LCM = 86006800/5
LCM = 17201360
Thus, we can understand that the LCM of 8885,9680 is 17201360.
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FAQs on LCM of 8885, 9680
1. What is the LCM of 8885, 9680?
Answer: LCM of 8885, 9680 is 17201360.
2. How to calculate the LCM of 8885, 9680?
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 8885, 9680.
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}.