LCM of 565, 884, 987, 940, 797
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 884, 987, 940, 797 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 565, 884, 987, 940, 797. So, keep reading to learn more.
Given numbers are 565,884,987,940,797
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,884,987,940,797 is 392894714940.
Find LCM of 565,884,987,940,797 with Prime Factorization
| 2 | 565, 884, 987, 940, 797 |
| 2 | 565, 442, 987, 470, 797 |
| 5 | 565, 221, 987, 235, 797 |
| 47 | 113, 221, 987, 47, 797 |
| 113, 221, 21, 1, 797 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 47 x 113 x 221 x 21 x 1 x 797 = 392894714940
Therefore, the lowest common multiple of 565,884,987,940,797 is 392894714940.
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.
565 x 884 x 987 x 940 x 797 = 369321032043600
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.
565 : 1, 5, 113, 565
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
987 : 1, 3, 7, 21, 47, 141, 329, 987
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
797 : 1, 797
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,884,987,940,797, is 1.
Now, the common factors can be found like this.
565:5x 113
884:2x 2x 13x 17
987:3x 7x 47
940:2x 2x 5x 47
797:797
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 5x 47 = 940
Therefore, the value for common factors is 940.
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 = 369321032043600/(1x940)
LCM = 369321032043600/940
LCM = 392894714940
Thus, we can understand that the LCM of 565,884,987,940,797 is 392894714940.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 565, 884, 987, 940, 797
1. What is the LCM of 565, 884, 987, 940, 797?
Answer: LCM of 565, 884, 987, 940, 797 is 392894714940.
2. How to calculate the LCM of 565, 884, 987, 940, 797?
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 565, 884, 987, 940, 797.
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}.