Find the LCM of 396, 638, 484, 841, 871 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 396, 638, 484, 841, 871. So, keep reading to learn more.
Given numbers are 396,638,484,841,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,638,484,841,871 is 3190817916.
Find LCM of 396,638,484,841,871 with Prime Factorization
2 | 396, 638, 484, 841, 871 |
2 | 198, 319, 242, 841, 871 |
11 | 99, 319, 121, 841, 871 |
29 | 9, 29, 11, 841, 871 |
9, 1, 11, 29, 871 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 29 x 9 x 1 x 11 x 29 x 871 = 3190817916
Therefore, the lowest common multiple of 396,638,484,841,871 is 3190817916.
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.
396 x 638 x 484 x 841 x 871 = 89572640537952
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
638 : 1, 2, 11, 22, 29, 58, 319, 638
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
841 : 1, 29, 841
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,638,484,841,871, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
638:2x 11x 29
484:2x 2x 11x 11
841:29x 29
871:13x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 11x 11x 29 = 28072
Therefore, the value for common factors is 28072.
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 = 89572640537952/(1x28072)
LCM = 89572640537952/28072
LCM = 3190817916
Thus, we can understand that the LCM of 396,638,484,841,871 is 3190817916.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 396, 638, 484, 841, 871?
Answer: LCM of 396, 638, 484, 841, 871 is 3190817916.
2. How to calculate the LCM of 396, 638, 484, 841, 871?
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 396, 638, 484, 841, 871.
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}.