LCM of 925, 591, 985, 570
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 925, 591, 985, 570 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 925, 591, 985, 570. So, keep reading to learn more.
Given numbers are 925,591,985,570
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 925,591,985,570 is 20773650.
Find LCM of 925,591,985,570 with Prime Factorization
| 3 | 925, 591, 985, 570 |
| 5 | 925, 197, 985, 190 |
| 197 | 185, 197, 197, 38 |
| 185, 1, 1, 38 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 197 x 185 x 1 x 1 x 38 = 20773650
Therefore, the lowest common multiple of 925,591,985,570 is 20773650.
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.
925 x 591 x 985 x 570 = 306930678750
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.
925 : 1, 5, 25, 37, 185, 925
591 : 1, 3, 197, 591
985 : 1, 5, 197, 985
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,591,985,570, is 1.
Now, the common factors can be found like this.
925:5x 5x 37
591:3x 197
985:5x 197
570:2x 3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 197 = 14775
Therefore, the value for common factors is 14775.
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 = 306930678750/(1x14775)
LCM = 306930678750/14775
LCM = 20773650
Thus, we can understand that the LCM of 925,591,985,570 is 20773650.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 925, 591, 985, 570
1. What is the LCM of 925, 591, 985, 570?
Answer: LCM of 925, 591, 985, 570 is 20773650.
2. How to calculate the LCM of 925, 591, 985, 570?
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 925, 591, 985, 570.
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}.