Find the LCM of 891, 821, 123, 809 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 891, 821, 123, 809. So, keep reading to learn more.
Given numbers are 891,821,123,809
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,821,123,809 is 24263488359.
Find LCM of 891,821,123,809 with Prime Factorization
3 | 891, 821, 123, 809 |
297, 821, 41, 809 |
Multiply the prime numbers at the bottom and the left side.
3 x 297 x 821 x 41 x 809 = 24263488359
Therefore, the lowest common multiple of 891,821,123,809 is 24263488359.
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.
891 x 821 x 123 x 809 = 72790465077
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.
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
821 : 1, 821
123 : 1, 3, 41, 123
809 : 1, 809
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,821,123,809, is 1.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
821:821
123:3x 41
809:809
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 = 72790465077/(1x3)
LCM = 72790465077/3
LCM = 24263488359
Thus, we can understand that the LCM of 891,821,123,809 is 24263488359.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 891, 821, 123, 809?
Answer: LCM of 891, 821, 123, 809 is 24263488359.
2. How to calculate the LCM of 891, 821, 123, 809?
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 891, 821, 123, 809.
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}.