Find the LCM of 808, 629, 561, 481, 543 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 808, 629, 561, 481, 543. So, keep reading to learn more.
Given numbers are 808,629,561,481,543
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,629,561,481,543 is 39463706568.
Find LCM of 808,629,561,481,543 with Prime Factorization
3 | 808, 629, 561, 481, 543 |
17 | 808, 629, 187, 481, 181 |
37 | 808, 37, 11, 481, 181 |
808, 1, 11, 13, 181 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 37 x 808 x 1 x 11 x 13 x 181 = 39463706568
Therefore, the lowest common multiple of 808,629,561,481,543 is 39463706568.
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.
808 x 629 x 561 x 481 x 543 = 74468014293816
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
629 : 1, 17, 37, 629
561 : 1, 3, 11, 17, 33, 51, 187, 561
481 : 1, 13, 37, 481
543 : 1, 3, 181, 543
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,629,561,481,543, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
629:17x 37
561:3x 11x 17
481:13x 37
543:3x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17x 37 = 1887
Therefore, the value for common factors is 1887.
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 = 74468014293816/(1x1887)
LCM = 74468014293816/1887
LCM = 39463706568
Thus, we can understand that the LCM of 808,629,561,481,543 is 39463706568.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 808, 629, 561, 481, 543?
Answer: LCM of 808, 629, 561, 481, 543 is 39463706568.
2. How to calculate the LCM of 808, 629, 561, 481, 543?
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 808, 629, 561, 481, 543.
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}.