Find the LCM of 5185, 1525 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 5185, 1525. So, keep reading to learn more.
Given numbers are 5185,1525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5185,1525 is 25925.
Find LCM of 5185,1525 with Prime Factorization
| 5 | 5185, 1525 |
| 61 | 1037, 305 |
| 17, 5 |
Multiply the prime numbers at the bottom and the left side.
5 x 61 x 17 x 5 = 25925
Therefore, the lowest common multiple of 5185,1525 is 25925.
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.
5185 x 1525 = 7907125
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.
5185 : 1, 5, 17, 61, 85, 305, 1037, 5185
1525 : 1, 5, 25, 61, 305, 1525
305 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5185,1525, is 305.
Now, the common factors can be found like this.
5185:5x 17x 61
1525:5x 5x 61
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 = 7907125/(305x1)
LCM = 7907125/305
LCM = 25925
Thus, we can understand that the LCM of 5185,1525 is 25925.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 5185, 1525?
Answer: LCM of 5185, 1525 is 25925.
2. How to calculate the LCM of 5185, 1525?
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 5185, 1525.
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}.