LCM of 585, 199, 486, 655, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 199, 486, 655, 882 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 585, 199, 486, 655, 882. So, keep reading to learn more.
Given numbers are 585,199,486,655,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,199,486,655,882 is 40352465790.
Find LCM of 585,199,486,655,882 with Prime Factorization
| 2 | 585, 199, 486, 655, 882 |
| 3 | 585, 199, 243, 655, 441 |
| 3 | 195, 199, 81, 655, 147 |
| 5 | 65, 199, 27, 655, 49 |
| 13, 199, 27, 131, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 13 x 199 x 27 x 131 x 49 = 40352465790
Therefore, the lowest common multiple of 585,199,486,655,882 is 40352465790.
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.
585 x 199 x 486 x 655 x 882 = 32685497289900
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
199 : 1, 199
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
655 : 1, 5, 131, 655
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,199,486,655,882, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
199:199
486:2x 3x 3x 3x 3x 3
655:5x 131
882:2x 3x 3x 7x 7
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 3x 3x 3x 5 = 810
Therefore, the value for common factors is 810.
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 = 32685497289900/(1x810)
LCM = 32685497289900/810
LCM = 40352465790
Thus, we can understand that the LCM of 585,199,486,655,882 is 40352465790.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 585, 199, 486, 655, 882
1. What is the LCM of 585, 199, 486, 655, 882?
Answer: LCM of 585, 199, 486, 655, 882 is 40352465790.
2. How to calculate the LCM of 585, 199, 486, 655, 882?
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 585, 199, 486, 655, 882.
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}.