LCM of 6616, 7752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 6616, 7752 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 6616, 7752. So, keep reading to learn more.
Given numbers are 6616,7752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6616,7752 is 6410904.
Find LCM of 6616,7752 with Prime Factorization
| 2 | 6616, 7752 |
| 2 | 3308, 3876 |
| 2 | 1654, 1938 |
| 827, 969 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 827 x 969 = 6410904
Therefore, the lowest common multiple of 6616,7752 is 6410904.
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.
6616 x 7752 = 51287232
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.
6616 : 1, 2, 4, 8, 827, 1654, 3308, 6616
7752 : 1, 2, 3, 4, 6, 8, 12, 17, 19, 24, 34, 38, 51, 57, 68, 76, 102, 114, 136, 152, 204, 228, 323, 408, 456, 646, 969, 1292, 1938, 2584, 3876, 7752
8 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6616,7752, is 8.
Now, the common factors can be found like this.
6616:2x 2x 2x 827
7752:2x 2x 2x 3x 17x 19
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 = 51287232/(8x1)
LCM = 51287232/8
LCM = 6410904
Thus, we can understand that the LCM of 6616,7752 is 6410904.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 6616, 7752
1. What is the LCM of 6616, 7752?
Answer: LCM of 6616, 7752 is 6410904.
2. How to calculate the LCM of 6616, 7752?
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 6616, 7752.
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}.