Find the LCM of 388, 957, 545, 422, 539 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 388, 957, 545, 422, 539. So, keep reading to learn more.
Given numbers are 388,957,545,422,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,957,545,422,539 is 2092274687580.
Find LCM of 388,957,545,422,539 with Prime Factorization
2 | 388, 957, 545, 422, 539 |
11 | 194, 957, 545, 211, 539 |
194, 87, 545, 211, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 194 x 87 x 545 x 211 x 49 = 2092274687580
Therefore, the lowest common multiple of 388,957,545,422,539 is 2092274687580.
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.
388 x 957 x 545 x 422 x 539 = 46030043126760
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.
388 : 1, 2, 4, 97, 194, 388
957 : 1, 3, 11, 29, 33, 87, 319, 957
545 : 1, 5, 109, 545
422 : 1, 2, 211, 422
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,957,545,422,539, is 1.
Now, the common factors can be found like this.
388:2x 2x 97
957:3x 11x 29
545:5x 109
422:2x 211
539:7x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 46030043126760/(1x22)
LCM = 46030043126760/22
LCM = 2092274687580
Thus, we can understand that the LCM of 388,957,545,422,539 is 2092274687580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 388, 957, 545, 422, 539?
Answer: LCM of 388, 957, 545, 422, 539 is 2092274687580.
2. How to calculate the LCM of 388, 957, 545, 422, 539?
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 388, 957, 545, 422, 539.
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}.