Find the LCM of 838, 419, 221, 439 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 838, 419, 221, 439. So, keep reading to learn more.
Given numbers are 838,419,221,439
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,419,221,439 is 81301922.
Find LCM of 838,419,221,439 with Prime Factorization
419 | 838, 419, 221, 439 |
2, 1, 221, 439 |
Multiply the prime numbers at the bottom and the left side.
419 x 2 x 1 x 221 x 439 = 81301922
Therefore, the lowest common multiple of 838,419,221,439 is 81301922.
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.
838 x 419 x 221 x 439 = 34065505318
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.
838 : 1, 2, 419, 838
419 : 1, 419
221 : 1, 13, 17, 221
439 : 1, 439
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,419,221,439, is 1.
Now, the common factors can be found like this.
838:2x 419
419:419
221:13x 17
439:439
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
419 = 419
Therefore, the value for common factors is 419.
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 = 34065505318/(1x419)
LCM = 34065505318/419
LCM = 81301922
Thus, we can understand that the LCM of 838,419,221,439 is 81301922.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 838, 419, 221, 439?
Answer: LCM of 838, 419, 221, 439 is 81301922.
2. How to calculate the LCM of 838, 419, 221, 439?
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 838, 419, 221, 439.
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}.