Find the LCM of 7075, 7275 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 7075, 7275. So, keep reading to learn more.
Given numbers are 7075,7275
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 7075,7275 is 2058825.
Find LCM of 7075,7275 with Prime Factorization
| 5 | 7075, 7275 |
| 5 | 1415, 1455 |
| 283, 291 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 283 x 291 = 2058825
Therefore, the lowest common multiple of 7075,7275 is 2058825.
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.
7075 x 7275 = 51470625
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.
7075 : 1, 5, 25, 283, 1415, 7075
7275 : 1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425, 7275
25 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7075,7275, is 25.
Now, the common factors can be found like this.
7075:5x 5x 283
7275:3x 5x 5x 97
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 = 51470625/(25x1)
LCM = 51470625/25
LCM = 2058825
Thus, we can understand that the LCM of 7075,7275 is 2058825.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 7075, 7275?
Answer: LCM of 7075, 7275 is 2058825.
2. How to calculate the LCM of 7075, 7275?
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 7075, 7275.
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}.