Find the LCM of 809, 800, 279, 961, 311 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 809, 800, 279, 961, 311. So, keep reading to learn more.
Given numbers are 809,800,279,961,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,800,279,961,311 is 1740863800800.
Find LCM of 809,800,279,961,311 with Prime Factorization
31 | 809, 800, 279, 961, 311 |
809, 800, 9, 31, 311 |
Multiply the prime numbers at the bottom and the left side.
31 x 809 x 800 x 9 x 31 x 311 = 1740863800800
Therefore, the lowest common multiple of 809,800,279,961,311 is 1740863800800.
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.
809 x 800 x 279 x 961 x 311 = 53966777824800
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.
809 : 1, 809
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
279 : 1, 3, 9, 31, 93, 279
961 : 1, 31, 961
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,800,279,961,311, is 1.
Now, the common factors can be found like this.
809:809
800:2x 2x 2x 2x 2x 5x 5
279:3x 3x 31
961:31x 31
311:311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
31 = 31
Therefore, the value for common factors is 31.
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 = 53966777824800/(1x31)
LCM = 53966777824800/31
LCM = 1740863800800
Thus, we can understand that the LCM of 809,800,279,961,311 is 1740863800800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 809, 800, 279, 961, 311?
Answer: LCM of 809, 800, 279, 961, 311 is 1740863800800.
2. How to calculate the LCM of 809, 800, 279, 961, 311?
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 809, 800, 279, 961, 311.
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}.