LCM of 513, 591, 787, 985
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 591, 787, 985 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 513, 591, 787, 985. So, keep reading to learn more.
Given numbers are 513,591,787,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,591,787,985 is 397675035.
Find LCM of 513,591,787,985 with Prime Factorization
| 3 | 513, 591, 787, 985 |
| 197 | 171, 197, 787, 985 |
| 171, 1, 787, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 197 x 171 x 1 x 787 x 5 = 397675035
Therefore, the lowest common multiple of 513,591,787,985 is 397675035.
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.
513 x 591 x 787 x 985 = 235025945685
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
591 : 1, 3, 197, 591
787 : 1, 787
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,591,787,985, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
591:3x 197
787:787
985:5x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 197 = 591
Therefore, the value for common factors is 591.
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 = 235025945685/(1x591)
LCM = 235025945685/591
LCM = 397675035
Thus, we can understand that the LCM of 513,591,787,985 is 397675035.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 513, 591, 787, 985
1. What is the LCM of 513, 591, 787, 985?
Answer: LCM of 513, 591, 787, 985 is 397675035.
2. How to calculate the LCM of 513, 591, 787, 985?
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 513, 591, 787, 985.
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}.