LCM of 512, 682, 799, 315, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 512, 682, 799, 315, 832 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 512, 682, 799, 315, 832. So, keep reading to learn more.
Given numbers are 512,682,799,315,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,682,799,315,832 is 571248437760.
Find LCM of 512,682,799,315,832 with Prime Factorization
| 2 | 512, 682, 799, 315, 832 |
| 2 | 256, 341, 799, 315, 416 |
| 2 | 128, 341, 799, 315, 208 |
| 2 | 64, 341, 799, 315, 104 |
| 2 | 32, 341, 799, 315, 52 |
| 2 | 16, 341, 799, 315, 26 |
| 8, 341, 799, 315, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 8 x 341 x 799 x 315 x 13 = 571248437760
Therefore, the lowest common multiple of 512,682,799,315,832 is 571248437760.
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.
512 x 682 x 799 x 315 x 832 = 73119800033280
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.
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
682 : 1, 2, 11, 22, 31, 62, 341, 682
799 : 1, 17, 47, 799
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,682,799,315,832, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
682:2x 11x 31
799:17x 47
315:3x 3x 5x 7
832:2x 2x 2x 2x 2x 2x 13
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 2x 2x 2x 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 73119800033280/(1x128)
LCM = 73119800033280/128
LCM = 571248437760
Thus, we can understand that the LCM of 512,682,799,315,832 is 571248437760.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 512, 682, 799, 315, 832
1. What is the LCM of 512, 682, 799, 315, 832?
Answer: LCM of 512, 682, 799, 315, 832 is 571248437760.
2. How to calculate the LCM of 512, 682, 799, 315, 832?
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 512, 682, 799, 315, 832.
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}.