Find the LCM of 7305, 2613 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 7305, 2613. So, keep reading to learn more.
Given numbers are 7305,2613
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 7305,2613 is 6362655.
Find LCM of 7305,2613 with Prime Factorization
| 3 | 7305, 2613 |
| 2435, 871 |
Multiply the prime numbers at the bottom and the left side.
3 x 2435 x 871 = 6362655
Therefore, the lowest common multiple of 7305,2613 is 6362655.
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.
7305 x 2613 = 19087965
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.
7305 : 1, 3, 5, 15, 487, 1461, 2435, 7305
2613 : 1, 3, 13, 39, 67, 201, 871, 2613
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7305,2613, is 3.
Now, the common factors can be found like this.
7305:3x 5x 487
2613:3x 13x 67
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 = 19087965/(3x1)
LCM = 19087965/3
LCM = 6362655
Thus, we can understand that the LCM of 7305,2613 is 6362655.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 7305, 2613?
Answer: LCM of 7305, 2613 is 6362655.
2. How to calculate the LCM of 7305, 2613?
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 7305, 2613.
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}.