Find the LCM of 821, 899, 591, 933, 563 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 821, 899, 591, 933, 563. So, keep reading to learn more.
Given numbers are 821,899,591,933,563
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,899,591,933,563 is 76376387611077.
Find LCM of 821,899,591,933,563 with Prime Factorization
3 | 821, 899, 591, 933, 563 |
821, 899, 197, 311, 563 |
Multiply the prime numbers at the bottom and the left side.
3 x 821 x 899 x 197 x 311 x 563 = 76376387611077
Therefore, the lowest common multiple of 821,899,591,933,563 is 76376387611077.
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.
821 x 899 x 591 x 933 x 563 = 229129162833231
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.
821 : 1, 821
899 : 1, 29, 31, 899
591 : 1, 3, 197, 591
933 : 1, 3, 311, 933
563 : 1, 563
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,899,591,933,563, is 1.
Now, the common factors can be found like this.
821:821
899:29x 31
591:3x 197
933:3x 311
563:563
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 229129162833231/(1x3)
LCM = 229129162833231/3
LCM = 76376387611077
Thus, we can understand that the LCM of 821,899,591,933,563 is 76376387611077.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 821, 899, 591, 933, 563?
Answer: LCM of 821, 899, 591, 933, 563 is 76376387611077.
2. How to calculate the LCM of 821, 899, 591, 933, 563?
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 821, 899, 591, 933, 563.
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}.