LCM of 1924, 9916
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 1924, 9916 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 1924, 9916. So, keep reading to learn more.
Given numbers are 1924,9916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1924,9916 is 128908.
Find LCM of 1924,9916 with Prime Factorization
| 2 | 1924, 9916 |
| 2 | 962, 4958 |
| 37 | 481, 2479 |
| 13, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 37 x 13 x 67 = 128908
Therefore, the lowest common multiple of 1924,9916 is 128908.
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.
1924 x 9916 = 19078384
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.
1924 : 1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924
9916 : 1, 2, 4, 37, 67, 74, 134, 148, 268, 2479, 4958, 9916
148 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1924,9916, is 148.
Now, the common factors can be found like this.
1924:2x 2x 13x 37
9916:2x 2x 37x 67
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 = 19078384/(148x1)
LCM = 19078384/148
LCM = 128908
Thus, we can understand that the LCM of 1924,9916 is 128908.
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FAQs on LCM of 1924, 9916
1. What is the LCM of 1924, 9916?
Answer: LCM of 1924, 9916 is 128908.
2. How to calculate the LCM of 1924, 9916?
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 1924, 9916.
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}.