LCM of 547, 935, 693, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 547, 935, 693, 585 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 547, 935, 693, 585. So, keep reading to learn more.
Given numbers are 547,935,693,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 547,935,693,585 is 418873455.
Find LCM of 547,935,693,585 with Prime Factorization
| 3 | 547, 935, 693, 585 |
| 3 | 547, 935, 231, 195 |
| 5 | 547, 935, 77, 65 |
| 11 | 547, 187, 77, 13 |
| 547, 17, 7, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 11 x 547 x 17 x 7 x 13 = 418873455
Therefore, the lowest common multiple of 547,935,693,585 is 418873455.
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.
547 x 935 x 693 x 585 = 207342360225
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.
547 : 1, 547
935 : 1, 5, 11, 17, 55, 85, 187, 935
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,935,693,585, is 1.
Now, the common factors can be found like this.
547:547
935:5x 11x 17
693:3x 3x 7x 11
585:3x 3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 11 = 495
Therefore, the value for common factors is 495.
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 = 207342360225/(1x495)
LCM = 207342360225/495
LCM = 418873455
Thus, we can understand that the LCM of 547,935,693,585 is 418873455.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 547, 935, 693, 585
1. What is the LCM of 547, 935, 693, 585?
Answer: LCM of 547, 935, 693, 585 is 418873455.
2. How to calculate the LCM of 547, 935, 693, 585?
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 547, 935, 693, 585.
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}.