LCM of 939, 546, 843, 614, 826
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 546, 843, 614, 826 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 939, 546, 843, 614, 826. So, keep reading to learn more.
Given numbers are 939,546,843,614,826
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,546,843,614,826 is 869828608194.
Find LCM of 939,546,843,614,826 with Prime Factorization
| 2 | 939, 546, 843, 614, 826 |
| 3 | 939, 273, 843, 307, 413 |
| 7 | 313, 91, 281, 307, 413 |
| 313, 13, 281, 307, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 313 x 13 x 281 x 307 x 59 = 869828608194
Therefore, the lowest common multiple of 939,546,843,614,826 is 869828608194.
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.
939 x 546 x 843 x 614 x 826 = 219196809264888
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.
939 : 1, 3, 313, 939
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
843 : 1, 3, 281, 843
614 : 1, 2, 307, 614
826 : 1, 2, 7, 14, 59, 118, 413, 826
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,546,843,614,826, is 1.
Now, the common factors can be found like this.
939:3x 313
546:2x 3x 7x 13
843:3x 281
614:2x 307
826:2x 7x 59
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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 219196809264888/(1x252)
LCM = 219196809264888/252
LCM = 869828608194
Thus, we can understand that the LCM of 939,546,843,614,826 is 869828608194.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 939, 546, 843, 614, 826
1. What is the LCM of 939, 546, 843, 614, 826?
Answer: LCM of 939, 546, 843, 614, 826 is 869828608194.
2. How to calculate the LCM of 939, 546, 843, 614, 826?
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 939, 546, 843, 614, 826.
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}.