LCM of 2684, 5764
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 2684, 5764 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 2684, 5764. So, keep reading to learn more.
Given numbers are 2684,5764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 2684,5764 is 351604.
Find LCM of 2684,5764 with Prime Factorization
| 2 | 2684, 5764 |
| 2 | 1342, 2882 |
| 11 | 671, 1441 |
| 61, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 61 x 131 = 351604
Therefore, the lowest common multiple of 2684,5764 is 351604.
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.
2684 x 5764 = 15470576
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.
2684 : 1, 2, 4, 11, 22, 44, 61, 122, 244, 671, 1342, 2684
5764 : 1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764
44 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2684,5764, is 44.
Now, the common factors can be found like this.
2684:2x 2x 11x 61
5764:2x 2x 11x 131
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 = 15470576/(44x1)
LCM = 15470576/44
LCM = 351604
Thus, we can understand that the LCM of 2684,5764 is 351604.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 2684, 5764
1. What is the LCM of 2684, 5764?
Answer: LCM of 2684, 5764 is 351604.
2. How to calculate the LCM of 2684, 5764?
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 2684, 5764.
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}.