LCM of 519, 582, 858, 682, 104
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 519, 582, 858, 682, 104 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 519, 582, 858, 682, 104. So, keep reading to learn more.
Given numbers are 519,582,858,682,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,582,858,682,104 is 1785364152.
Find LCM of 519,582,858,682,104 with Prime Factorization
| 2 | 519, 582, 858, 682, 104 |
| 3 | 519, 291, 429, 341, 52 |
| 11 | 173, 97, 143, 341, 52 |
| 13 | 173, 97, 13, 31, 52 |
| 173, 97, 1, 31, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 173 x 97 x 1 x 31 x 4 = 1785364152
Therefore, the lowest common multiple of 519,582,858,682,104 is 1785364152.
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.
519 x 582 x 858 x 682 x 104 = 18382109308992
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.
519 : 1, 3, 173, 519
582 : 1, 2, 3, 6, 97, 194, 291, 582
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
682 : 1, 2, 11, 22, 31, 62, 341, 682
104 : 1, 2, 4, 8, 13, 26, 52, 104
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,582,858,682,104, is 1.
Now, the common factors can be found like this.
519:3x 173
582:2x 3x 97
858:2x 3x 11x 13
682:2x 11x 31
104:2x 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 3x 3x 11x 13 = 10296
Therefore, the value for common factors is 10296.
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 = 18382109308992/(1x10296)
LCM = 18382109308992/10296
LCM = 1785364152
Thus, we can understand that the LCM of 519,582,858,682,104 is 1785364152.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 519, 582, 858, 682, 104
1. What is the LCM of 519, 582, 858, 682, 104?
Answer: LCM of 519, 582, 858, 682, 104 is 1785364152.
2. How to calculate the LCM of 519, 582, 858, 682, 104?
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 519, 582, 858, 682, 104.
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}.