Find the LCM of 543, 871, 469, 379 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 543, 871, 469, 379. So, keep reading to learn more.
Given numbers are 543,871,469,379
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,871,469,379 is 1254744309.
Find LCM of 543,871,469,379 with Prime Factorization
67 | 543, 871, 469, 379 |
543, 13, 7, 379 |
Multiply the prime numbers at the bottom and the left side.
67 x 543 x 13 x 7 x 379 = 1254744309
Therefore, the lowest common multiple of 543,871,469,379 is 1254744309.
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.
543 x 871 x 469 x 379 = 84067868703
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.
543 : 1, 3, 181, 543
871 : 1, 13, 67, 871
469 : 1, 7, 67, 469
379 : 1, 379
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,871,469,379, is 1.
Now, the common factors can be found like this.
543:3x 181
871:13x 67
469:7x 67
379:379
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
67 = 67
Therefore, the value for common factors is 67.
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 = 84067868703/(1x67)
LCM = 84067868703/67
LCM = 1254744309
Thus, we can understand that the LCM of 543,871,469,379 is 1254744309.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 543, 871, 469, 379?
Answer: LCM of 543, 871, 469, 379 is 1254744309.
2. How to calculate the LCM of 543, 871, 469, 379?
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 543, 871, 469, 379.
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}.