Find the LCM of 841, 900, 861, 205 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 841, 900, 861, 205. So, keep reading to learn more.
Given numbers are 841,900,861,205
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 841,900,861,205 is 217230300.
Find LCM of 841,900,861,205 with Prime Factorization
3 | 841, 900, 861, 205 |
5 | 841, 300, 287, 205 |
41 | 841, 60, 287, 41 |
841, 60, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 41 x 841 x 60 x 7 x 1 = 217230300
Therefore, the lowest common multiple of 841,900,861,205 is 217230300.
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.
841 x 900 x 861 x 205 = 133596634500
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.
841 : 1, 29, 841
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
861 : 1, 3, 7, 21, 41, 123, 287, 861
205 : 1, 5, 41, 205
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,900,861,205, is 1.
Now, the common factors can be found like this.
841:29x 29
900:2x 2x 3x 3x 5x 5
861:3x 7x 41
205:5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 41 = 615
Therefore, the value for common factors is 615.
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 = 133596634500/(1x615)
LCM = 133596634500/615
LCM = 217230300
Thus, we can understand that the LCM of 841,900,861,205 is 217230300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 841, 900, 861, 205?
Answer: LCM of 841, 900, 861, 205 is 217230300.
2. How to calculate the LCM of 841, 900, 861, 205?
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 841, 900, 861, 205.
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}.