LCM of 518, 933, 622, 843
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 518, 933, 622, 843 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 518, 933, 622, 843. So, keep reading to learn more.
Given numbers are 518,933,622,843
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 518,933,622,843 is 135805614.
Find LCM of 518,933,622,843 with Prime Factorization
| 2 | 518, 933, 622, 843 |
| 3 | 259, 933, 311, 843 |
| 311 | 259, 311, 311, 281 |
| 259, 1, 1, 281 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 311 x 259 x 1 x 1 x 281 = 135805614
Therefore, the lowest common multiple of 518,933,622,843 is 135805614.
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.
518 x 933 x 622 x 843 = 253413275724
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.
518 : 1, 2, 7, 14, 37, 74, 259, 518
933 : 1, 3, 311, 933
622 : 1, 2, 311, 622
843 : 1, 3, 281, 843
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,933,622,843, is 1.
Now, the common factors can be found like this.
518:2x 7x 37
933:3x 311
622:2x 311
843:3x 281
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 311 = 1866
Therefore, the value for common factors is 1866.
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 = 253413275724/(1x1866)
LCM = 253413275724/1866
LCM = 135805614
Thus, we can understand that the LCM of 518,933,622,843 is 135805614.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 518, 933, 622, 843
1. What is the LCM of 518, 933, 622, 843?
Answer: LCM of 518, 933, 622, 843 is 135805614.
2. How to calculate the LCM of 518, 933, 622, 843?
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 518, 933, 622, 843.
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}.