LCM of 9812, 2024
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9812, 2024 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 9812, 2024. So, keep reading to learn more.
Given numbers are 9812,2024
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9812,2024 is 451352.
Find LCM of 9812,2024 with Prime Factorization
| 2 | 9812, 2024 |
| 2 | 4906, 1012 |
| 11 | 2453, 506 |
| 223, 46 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 223 x 46 = 451352
Therefore, the lowest common multiple of 9812,2024 is 451352.
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.
9812 x 2024 = 19859488
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.
9812 : 1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812
2024 : 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012, 2024
44 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9812,2024, is 44.
Now, the common factors can be found like this.
9812:2x 2x 11x 223
2024:2x 2x 2x 11x 23
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 = 19859488/(44x1)
LCM = 19859488/44
LCM = 451352
Thus, we can understand that the LCM of 9812,2024 is 451352.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 9812, 2024
1. What is the LCM of 9812, 2024?
Answer: LCM of 9812, 2024 is 451352.
2. How to calculate the LCM of 9812, 2024?
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 9812, 2024.
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}.