Find the LCM of 9714, 8049 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 9714, 8049. So, keep reading to learn more.
Given numbers are 9714,8049
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9714,8049 is 26062662.
Find LCM of 9714,8049 with Prime Factorization
| 3 | 9714, 8049 |
| 3238, 2683 |
Multiply the prime numbers at the bottom and the left side.
3 x 3238 x 2683 = 26062662
Therefore, the lowest common multiple of 9714,8049 is 26062662.
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.
9714 x 8049 = 78187986
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.
9714 : 1, 2, 3, 6, 1619, 3238, 4857, 9714
8049 : 1, 3, 2683, 8049
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9714,8049, is 3.
Now, the common factors can be found like this.
9714:2x 3x 1619
8049:3x 2683
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 = 78187986/(3x1)
LCM = 78187986/3
LCM = 26062662
Thus, we can understand that the LCM of 9714,8049 is 26062662.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 9714, 8049?
Answer: LCM of 9714, 8049 is 26062662.
2. How to calculate the LCM of 9714, 8049?
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 9714, 8049.
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}.