Find the LCM of 481, 798, 939, 969, 782 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, 798, 939, 969, 782. So, keep reading to learn more.
Given numbers are 481,798,939,969,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,798,939,969,782 is 46975245954.
Find LCM of 481,798,939,969,782 with Prime Factorization
2 | 481, 798, 939, 969, 782 |
3 | 481, 399, 939, 969, 391 |
17 | 481, 133, 313, 323, 391 |
19 | 481, 133, 313, 19, 23 |
481, 7, 313, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 481 x 7 x 313 x 1 x 23 = 46975245954
Therefore, the lowest common multiple of 481,798,939,969,782 is 46975245954.
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 798 x 939 x 969 x 782 = 273114079976556
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
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
939 : 1, 3, 313, 939
969 : 1, 3, 17, 19, 51, 57, 323, 969
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,798,939,969,782, is 1.
Now, the common factors can be found like this.
481:13x 37
798:2x 3x 7x 19
939:3x 313
969:3x 17x 19
782:2x 17x 23
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 3x 17x 19 = 5814
Therefore, the value for common factors is 5814.
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 = 273114079976556/(1x5814)
LCM = 273114079976556/5814
LCM = 46975245954
Thus, we can understand that the LCM of 481,798,939,969,782 is 46975245954.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 481, 798, 939, 969, 782?
Answer: LCM of 481, 798, 939, 969, 782 is 46975245954.
2. How to calculate the LCM of 481, 798, 939, 969, 782?
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, 798, 939, 969, 782.
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}.