LCM of 9916, 5780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9916, 5780 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, 5780. So, keep reading to learn more.
Given numbers are 9916,5780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9916,5780 is 14328620.
Find LCM of 9916,5780 with Prime Factorization
| 2 | 9916, 5780 |
| 2 | 4958, 2890 |
| 2479, 1445 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2479 x 1445 = 14328620
Therefore, the lowest common multiple of 9916,5780 is 14328620.
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 5780 = 57314480
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
5780 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890, 5780
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9916,5780, is 4.
Now, the common factors can be found like this.
9916:2x 2x 37x 67
5780:2x 2x 5x 17x 17
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 = 57314480/(4x1)
LCM = 57314480/4
LCM = 14328620
Thus, we can understand that the LCM of 9916,5780 is 14328620.
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FAQs on LCM of 9916, 5780
1. What is the LCM of 9916, 5780?
Answer: LCM of 9916, 5780 is 14328620.
2. How to calculate the LCM of 9916, 5780?
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, 5780.
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}.