Find the LCM of 1311, 9867 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 1311, 9867. So, keep reading to learn more.
Given numbers are 1311,9867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1311,9867 is 187473.
Find LCM of 1311,9867 with Prime Factorization
| 3 | 1311, 9867 |
| 23 | 437, 3289 |
| 19, 143 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 19 x 143 = 187473
Therefore, the lowest common multiple of 1311,9867 is 187473.
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.
1311 x 9867 = 12935637
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.
1311 : 1, 3, 19, 23, 57, 69, 437, 1311
9867 : 1, 3, 11, 13, 23, 33, 39, 69, 143, 253, 299, 429, 759, 897, 3289, 9867
69 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1311,9867, is 69.
Now, the common factors can be found like this.
1311:3x 19x 23
9867:3x 11x 13x 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 = 12935637/(69x1)
LCM = 12935637/69
LCM = 187473
Thus, we can understand that the LCM of 1311,9867 is 187473.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 1311, 9867?
Answer: LCM of 1311, 9867 is 187473.
2. How to calculate the LCM of 1311, 9867?
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 1311, 9867.
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}.