LCM of 577, 944, 791, 707, 655
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 577, 944, 791, 707, 655 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 577, 944, 791, 707, 655. So, keep reading to learn more.
Given numbers are 577,944,791,707,655
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,944,791,707,655 is 28502763200240.
Find LCM of 577,944,791,707,655 with Prime Factorization
| 7 | 577, 944, 791, 707, 655 |
| 577, 944, 113, 101, 655 |
Multiply the prime numbers at the bottom and the left side.
7 x 577 x 944 x 113 x 101 x 655 = 28502763200240
Therefore, the lowest common multiple of 577,944,791,707,655 is 28502763200240.
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.
577 x 944 x 791 x 707 x 655 = 199519342401680
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.
577 : 1, 577
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
791 : 1, 7, 113, 791
707 : 1, 7, 101, 707
655 : 1, 5, 131, 655
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,944,791,707,655, is 1.
Now, the common factors can be found like this.
577:577
944:2x 2x 2x 2x 59
791:7x 113
707:7x 101
655:5x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7 = 7
Therefore, the value for common factors is 7.
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 = 199519342401680/(1x7)
LCM = 199519342401680/7
LCM = 28502763200240
Thus, we can understand that the LCM of 577,944,791,707,655 is 28502763200240.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 577, 944, 791, 707, 655
1. What is the LCM of 577, 944, 791, 707, 655?
Answer: LCM of 577, 944, 791, 707, 655 is 28502763200240.
2. How to calculate the LCM of 577, 944, 791, 707, 655?
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 577, 944, 791, 707, 655.
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}.