Find the LCM of 4695, 6255 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 4695, 6255. So, keep reading to learn more.
Given numbers are 4695,6255
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4695,6255 is 1957815.
Find LCM of 4695,6255 with Prime Factorization
| 3 | 4695, 6255 |
| 5 | 1565, 2085 |
| 313, 417 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 313 x 417 = 1957815
Therefore, the lowest common multiple of 4695,6255 is 1957815.
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.
4695 x 6255 = 29367225
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.
4695 : 1, 3, 5, 15, 313, 939, 1565, 4695
6255 : 1, 3, 5, 9, 15, 45, 139, 417, 695, 1251, 2085, 6255
15 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4695,6255, is 15.
Now, the common factors can be found like this.
4695:3x 5x 313
6255:3x 3x 5x 139
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 = 29367225/(15x1)
LCM = 29367225/15
LCM = 1957815
Thus, we can understand that the LCM of 4695,6255 is 1957815.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 4695, 6255?
Answer: LCM of 4695, 6255 is 1957815.
2. How to calculate the LCM of 4695, 6255?
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 4695, 6255.
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}.