Find the LCM of 1182, 9966 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 1182, 9966. So, keep reading to learn more.
Given numbers are 1182,9966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1182,9966 is 1963302.
Find LCM of 1182,9966 with Prime Factorization
| 2 | 1182, 9966 |
| 3 | 591, 4983 |
| 197, 1661 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 197 x 1661 = 1963302
Therefore, the lowest common multiple of 1182,9966 is 1963302.
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.
1182 x 9966 = 11779812
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.
1182 : 1, 2, 3, 6, 197, 394, 591, 1182
9966 : 1, 2, 3, 6, 11, 22, 33, 66, 151, 302, 453, 906, 1661, 3322, 4983, 9966
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1182,9966, is 6.
Now, the common factors can be found like this.
1182:2x 3x 197
9966:2x 3x 11x 151
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 = 11779812/(6x1)
LCM = 11779812/6
LCM = 1963302
Thus, we can understand that the LCM of 1182,9966 is 1963302.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 1182, 9966?
Answer: LCM of 1182, 9966 is 1963302.
2. How to calculate the LCM of 1182, 9966?
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 1182, 9966.
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}.