Find the LCM of 539, 187, 515, 525 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 539, 187, 515, 525. So, keep reading to learn more.
Given numbers are 539,187,515,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 539,187,515,525 is 70784175.
Find LCM of 539,187,515,525 with Prime Factorization
5 | 539, 187, 515, 525 |
7 | 539, 187, 103, 105 |
11 | 77, 187, 103, 15 |
7, 17, 103, 15 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 11 x 7 x 17 x 103 x 15 = 70784175
Therefore, the lowest common multiple of 539,187,515,525 is 70784175.
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.
539 x 187 x 515 x 525 = 27251907375
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.
539 : 1, 7, 11, 49, 77, 539
187 : 1, 11, 17, 187
515 : 1, 5, 103, 515
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,187,515,525, is 1.
Now, the common factors can be found like this.
539:7x 7x 11
187:11x 17
515:5x 103
525:3x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 11 = 385
Therefore, the value for common factors is 385.
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 = 27251907375/(1x385)
LCM = 27251907375/385
LCM = 70784175
Thus, we can understand that the LCM of 539,187,515,525 is 70784175.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 539, 187, 515, 525?
Answer: LCM of 539, 187, 515, 525 is 70784175.
2. How to calculate the LCM of 539, 187, 515, 525?
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 539, 187, 515, 525.
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}.