Find the LCM of 996, 559, 144, 858, 810 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 996, 559, 144, 858, 810. So, keep reading to learn more.
Given numbers are 996,559,144,858,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 996,559,144,858,810 is 3307178160.
Find LCM of 996,559,144,858,810 with Prime Factorization
2 | 996, 559, 144, 858, 810 |
2 | 498, 559, 72, 429, 405 |
3 | 249, 559, 36, 429, 405 |
3 | 83, 559, 12, 143, 135 |
13 | 83, 559, 4, 143, 45 |
83, 43, 4, 11, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 83 x 43 x 4 x 11 x 45 = 3307178160
Therefore, the lowest common multiple of 996,559,144,858,810 is 3307178160.
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.
996 x 559 x 144 x 858 x 810 = 55719337639680
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.
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
559 : 1, 13, 43, 559
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,559,144,858,810, is 1.
Now, the common factors can be found like this.
996:2x 2x 3x 83
559:13x 43
144:2x 2x 2x 2x 3x 3
858:2x 3x 11x 13
810:2x 3x 3x 3x 3x 5
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 3x 3x 3x 3x 13 = 16848
Therefore, the value for common factors is 16848.
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 = 55719337639680/(1x16848)
LCM = 55719337639680/16848
LCM = 3307178160
Thus, we can understand that the LCM of 996,559,144,858,810 is 3307178160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 996, 559, 144, 858, 810?
Answer: LCM of 996, 559, 144, 858, 810 is 3307178160.
2. How to calculate the LCM of 996, 559, 144, 858, 810?
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 996, 559, 144, 858, 810.
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}.