LCM of 418, 414, 388, 231, 919
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 414, 388, 231, 919 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 418, 414, 388, 231, 919. So, keep reading to learn more.
Given numbers are 418,414,388,231,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,414,388,231,919 is 107984621052.
Find LCM of 418,414,388,231,919 with Prime Factorization
| 2 | 418, 414, 388, 231, 919 |
| 3 | 209, 207, 194, 231, 919 |
| 11 | 209, 69, 194, 77, 919 |
| 19, 69, 194, 7, 919 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 69 x 194 x 7 x 919 = 107984621052
Therefore, the lowest common multiple of 418,414,388,231,919 is 107984621052.
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.
418 x 414 x 388 x 231 x 919 = 14253969978864
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
388 : 1, 2, 4, 97, 194, 388
231 : 1, 3, 7, 11, 21, 33, 77, 231
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,414,388,231,919, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
414:2x 3x 3x 23
388:2x 2x 97
231:3x 7x 11
919:919
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 14253969978864/(1x132)
LCM = 14253969978864/132
LCM = 107984621052
Thus, we can understand that the LCM of 418,414,388,231,919 is 107984621052.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 418, 414, 388, 231, 919
1. What is the LCM of 418, 414, 388, 231, 919?
Answer: LCM of 418, 414, 388, 231, 919 is 107984621052.
2. How to calculate the LCM of 418, 414, 388, 231, 919?
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 418, 414, 388, 231, 919.
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}.