Find the LCM of 271, 793, 189, 671 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 271, 793, 189, 671. So, keep reading to learn more.
Given numbers are 271,793,189,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 271,793,189,671 is 446783337.
Find LCM of 271,793,189,671 with Prime Factorization
61 | 271, 793, 189, 671 |
271, 13, 189, 11 |
Multiply the prime numbers at the bottom and the left side.
61 x 271 x 13 x 189 x 11 = 446783337
Therefore, the lowest common multiple of 271,793,189,671 is 446783337.
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.
271 x 793 x 189 x 671 = 27253783557
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.
271 : 1, 271
793 : 1, 13, 61, 793
189 : 1, 3, 7, 9, 21, 27, 63, 189
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,793,189,671, is 1.
Now, the common factors can be found like this.
271:271
793:13x 61
189:3x 3x 3x 7
671:11x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
61 = 61
Therefore, the value for common factors is 61.
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 = 27253783557/(1x61)
LCM = 27253783557/61
LCM = 446783337
Thus, we can understand that the LCM of 271,793,189,671 is 446783337.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 271, 793, 189, 671?
Answer: LCM of 271, 793, 189, 671 is 446783337.
2. How to calculate the LCM of 271, 793, 189, 671?
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 271, 793, 189, 671.
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}.