Find the LCM of 517, 525, 517, 159, 750 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 517, 525, 517, 159, 750. So, keep reading to learn more.
Given numbers are 517,525,517,159,750
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,525,517,159,750 is 143855250.
Find LCM of 517,525,517,159,750 with Prime Factorization
3 | 517, 525, 517, 159, 750 |
5 | 517, 175, 517, 53, 250 |
5 | 517, 35, 517, 53, 50 |
11 | 517, 7, 517, 53, 10 |
47 | 47, 7, 47, 53, 10 |
1, 7, 1, 53, 10 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 11 x 47 x 1 x 7 x 1 x 53 x 10 = 143855250
Therefore, the lowest common multiple of 517,525,517,159,750 is 143855250.
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.
517 x 525 x 517 x 159 x 750 = 16733961956250
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.
517 : 1, 11, 47, 517
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
517 : 1, 11, 47, 517
159 : 1, 3, 53, 159
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,525,517,159,750, is 1.
Now, the common factors can be found like this.
517:11x 47
525:3x 5x 5x 7
517:11x 47
159:3x 53
750:2x 3x 5x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5x 11x 47 = 116325
Therefore, the value for common factors is 116325.
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 = 16733961956250/(1x116325)
LCM = 16733961956250/116325
LCM = 143855250
Thus, we can understand that the LCM of 517,525,517,159,750 is 143855250.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 517, 525, 517, 159, 750?
Answer: LCM of 517, 525, 517, 159, 750 is 143855250.
2. How to calculate the LCM of 517, 525, 517, 159, 750?
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 517, 525, 517, 159, 750.
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}.