LCM of 718, 948, 825, 913
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 718, 948, 825, 913 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 718, 948, 825, 913. So, keep reading to learn more.
Given numbers are 718,948,825,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 718,948,825,913 is 7768077900.
Find LCM of 718,948,825,913 with Prime Factorization
| 2 | 718, 948, 825, 913 |
| 3 | 359, 474, 825, 913 |
| 11 | 359, 158, 275, 913 |
| 359, 158, 25, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 359 x 158 x 25 x 83 = 7768077900
Therefore, the lowest common multiple of 718,948,825,913 is 7768077900.
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.
718 x 948 x 825 x 913 = 512693141400
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.
718 : 1, 2, 359, 718
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 718,948,825,913, is 1.
Now, the common factors can be found like this.
718:2x 359
948:2x 2x 3x 79
825:3x 5x 5x 11
913:11x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 512693141400/(1x66)
LCM = 512693141400/66
LCM = 7768077900
Thus, we can understand that the LCM of 718,948,825,913 is 7768077900.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 718, 948, 825, 913
1. What is the LCM of 718, 948, 825, 913?
Answer: LCM of 718, 948, 825, 913 is 7768077900.
2. How to calculate the LCM of 718, 948, 825, 913?
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 718, 948, 825, 913.
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}.