Find the LCM of 239, 538, 538, 442 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 239, 538, 538, 442. So, keep reading to learn more.
Given numbers are 239,538,538,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 239,538,538,442 is 28416622.
Find LCM of 239,538,538,442 with Prime Factorization
2 | 239, 538, 538, 442 |
269 | 239, 269, 269, 221 |
239, 1, 1, 221 |
Multiply the prime numbers at the bottom and the left side.
2 x 269 x 239 x 1 x 1 x 221 = 28416622
Therefore, the lowest common multiple of 239,538,538,442 is 28416622.
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.
239 x 538 x 538 x 442 = 30576285272
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.
239 : 1, 239
538 : 1, 2, 269, 538
538 : 1, 2, 269, 538
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,538,538,442, is 1.
Now, the common factors can be found like this.
239:239
538:2x 269
538:2x 269
442:2x 13x 17
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 269 = 1076
Therefore, the value for common factors is 1076.
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 = 30576285272/(1x1076)
LCM = 30576285272/1076
LCM = 28416622
Thus, we can understand that the LCM of 239,538,538,442 is 28416622.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 239, 538, 538, 442?
Answer: LCM of 239, 538, 538, 442 is 28416622.
2. How to calculate the LCM of 239, 538, 538, 442?
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 239, 538, 538, 442.
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}.