Find the LCM of 3183, 7641 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 3183, 7641. So, keep reading to learn more.
Given numbers are 3183,7641
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3183,7641 is 8107101.
Find LCM of 3183,7641 with Prime Factorization
| 3 | 3183, 7641 |
| 1061, 2547 |
Multiply the prime numbers at the bottom and the left side.
3 x 1061 x 2547 = 8107101
Therefore, the lowest common multiple of 3183,7641 is 8107101.
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.
3183 x 7641 = 24321303
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.
3183 : 1, 3, 1061, 3183
7641 : 1, 3, 9, 27, 283, 849, 2547, 7641
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3183,7641, is 3.
Now, the common factors can be found like this.
3183:3x 1061
7641:3x 3x 3x 283
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 = 24321303/(3x1)
LCM = 24321303/3
LCM = 8107101
Thus, we can understand that the LCM of 3183,7641 is 8107101.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 3183, 7641?
Answer: LCM of 3183, 7641 is 8107101.
2. How to calculate the LCM of 3183, 7641?
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 3183, 7641.
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}.