LCM of 507, 878, 962, 878
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 878, 962, 878 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 507, 878, 962, 878. So, keep reading to learn more.
Given numbers are 507,878,962,878
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,878,962,878 is 16470402.
Find LCM of 507,878,962,878 with Prime Factorization
| 2 | 507, 878, 962, 878 |
| 13 | 507, 439, 481, 439 |
| 439 | 39, 439, 37, 439 |
| 39, 1, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 439 x 39 x 1 x 37 x 1 = 16470402
Therefore, the lowest common multiple of 507,878,962,878 is 16470402.
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.
507 x 878 x 962 x 878 = 375986336856
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.
507 : 1, 3, 13, 39, 169, 507
878 : 1, 2, 439, 878
962 : 1, 2, 13, 26, 37, 74, 481, 962
878 : 1, 2, 439, 878
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,878,962,878, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
878:2x 439
962:2x 13x 37
878:2x 439
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 13x 439 = 22828
Therefore, the value for common factors is 22828.
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 = 375986336856/(1x22828)
LCM = 375986336856/22828
LCM = 16470402
Thus, we can understand that the LCM of 507,878,962,878 is 16470402.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 507, 878, 962, 878
1. What is the LCM of 507, 878, 962, 878?
Answer: LCM of 507, 878, 962, 878 is 16470402.
2. How to calculate the LCM of 507, 878, 962, 878?
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 507, 878, 962, 878.
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}.