LCM of 3105, 7545
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 3105, 7545 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 3105, 7545. So, keep reading to learn more.
Given numbers are 3105,7545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3105,7545 is 1561815.
Find LCM of 3105,7545 with Prime Factorization
| 3 | 3105, 7545 |
| 5 | 1035, 2515 |
| 207, 503 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 207 x 503 = 1561815
Therefore, the lowest common multiple of 3105,7545 is 1561815.
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.
3105 x 7545 = 23427225
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.
3105 : 1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035, 3105
7545 : 1, 3, 5, 15, 503, 1509, 2515, 7545
15 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3105,7545, is 15.
Now, the common factors can be found like this.
3105:3x 3x 3x 5x 23
7545:3x 5x 503
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 = 23427225/(15x1)
LCM = 23427225/15
LCM = 1561815
Thus, we can understand that the LCM of 3105,7545 is 1561815.
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FAQs on LCM of 3105, 7545
1. What is the LCM of 3105, 7545?
Answer: LCM of 3105, 7545 is 1561815.
2. How to calculate the LCM of 3105, 7545?
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 3105, 7545.
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}.