Find the LCM of 979, 867, 812, 474, 289 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 979, 867, 812, 474, 289. So, keep reading to learn more.
Given numbers are 979,867,812,474,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,867,812,474,289 is 54448373364.
Find LCM of 979,867,812,474,289 with Prime Factorization
2 | 979, 867, 812, 474, 289 |
3 | 979, 867, 406, 237, 289 |
17 | 979, 289, 406, 79, 289 |
17 | 979, 17, 406, 79, 17 |
979, 1, 406, 79, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 17 x 979 x 1 x 406 x 79 x 1 = 54448373364
Therefore, the lowest common multiple of 979,867,812,474,289 is 54448373364.
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.
979 x 867 x 812 x 474 x 289 = 94413479413176
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.
979 : 1, 11, 89, 979
867 : 1, 3, 17, 51, 289, 867
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
474 : 1, 2, 3, 6, 79, 158, 237, 474
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,867,812,474,289, is 1.
Now, the common factors can be found like this.
979:11x 89
867:3x 17x 17
812:2x 2x 7x 29
474:2x 3x 79
289:17x 17
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 17x 17 = 1734
Therefore, the value for common factors is 1734.
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 = 94413479413176/(1x1734)
LCM = 94413479413176/1734
LCM = 54448373364
Thus, we can understand that the LCM of 979,867,812,474,289 is 54448373364.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 979, 867, 812, 474, 289?
Answer: LCM of 979, 867, 812, 474, 289 is 54448373364.
2. How to calculate the LCM of 979, 867, 812, 474, 289?
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 979, 867, 812, 474, 289.
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}.