Find the LCM of 481, 582, 306, 951, 816 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 481, 582, 306, 951, 816. So, keep reading to learn more.
Given numbers are 481,582,306,951,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,582,306,951,816 is 36206578512.
Find LCM of 481,582,306,951,816 with Prime Factorization
2 | 481, 582, 306, 951, 816 |
3 | 481, 291, 153, 951, 408 |
17 | 481, 97, 51, 317, 136 |
481, 97, 3, 317, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 481 x 97 x 3 x 317 x 8 = 36206578512
Therefore, the lowest common multiple of 481,582,306,951,816 is 36206578512.
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.
481 x 582 x 306 x 951 x 816 = 66475278148032
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.
481 : 1, 13, 37, 481
582 : 1, 2, 3, 6, 97, 194, 291, 582
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
951 : 1, 3, 317, 951
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,582,306,951,816, is 1.
Now, the common factors can be found like this.
481:13x 37
582:2x 3x 97
306:2x 3x 3x 17
951:3x 317
816:2x 2x 2x 2x 3x 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 2x 3x 3x 3x 17 = 1836
Therefore, the value for common factors is 1836.
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 = 66475278148032/(1x1836)
LCM = 66475278148032/1836
LCM = 36206578512
Thus, we can understand that the LCM of 481,582,306,951,816 is 36206578512.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 481, 582, 306, 951, 816?
Answer: LCM of 481, 582, 306, 951, 816 is 36206578512.
2. How to calculate the LCM of 481, 582, 306, 951, 816?
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 481, 582, 306, 951, 816.
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}.