Find the LCM of 6684, 5211 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 6684, 5211. So, keep reading to learn more.
Given numbers are 6684,5211
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6684,5211 is 11610108.
Find LCM of 6684,5211 with Prime Factorization
| 3 | 6684, 5211 |
| 2228, 1737 |
Multiply the prime numbers at the bottom and the left side.
3 x 2228 x 1737 = 11610108
Therefore, the lowest common multiple of 6684,5211 is 11610108.
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.
6684 x 5211 = 34830324
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.
6684 : 1, 2, 3, 4, 6, 12, 557, 1114, 1671, 2228, 3342, 6684
5211 : 1, 3, 9, 27, 193, 579, 1737, 5211
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6684,5211, is 3.
Now, the common factors can be found like this.
6684:2x 2x 3x 557
5211:3x 3x 3x 193
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 = 34830324/(3x1)
LCM = 34830324/3
LCM = 11610108
Thus, we can understand that the LCM of 6684,5211 is 11610108.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 6684, 5211?
Answer: LCM of 6684, 5211 is 11610108.
2. How to calculate the LCM of 6684, 5211?
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 6684, 5211.
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}.