Find the LCM of 2715, 5655 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 2715, 5655. So, keep reading to learn more.
Given numbers are 2715,5655
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 2715,5655 is 1023555.
Find LCM of 2715,5655 with Prime Factorization
| 3 | 2715, 5655 |
| 5 | 905, 1885 |
| 181, 377 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 181 x 377 = 1023555
Therefore, the lowest common multiple of 2715,5655 is 1023555.
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.
2715 x 5655 = 15353325
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.
2715 : 1, 3, 5, 15, 181, 543, 905, 2715
5655 : 1, 3, 5, 13, 15, 29, 39, 65, 87, 145, 195, 377, 435, 1131, 1885, 5655
15 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2715,5655, is 15.
Now, the common factors can be found like this.
2715:3x 5x 181
5655:3x 5x 13x 29
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 = 15353325/(15x1)
LCM = 15353325/15
LCM = 1023555
Thus, we can understand that the LCM of 2715,5655 is 1023555.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 2715, 5655?
Answer: LCM of 2715, 5655 is 1023555.
2. How to calculate the LCM of 2715, 5655?
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 2715, 5655.
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}.