LCM of 363, 638, 522, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 638, 522, 871 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 363, 638, 522, 871. So, keep reading to learn more.
Given numbers are 363,638,522,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,638,522,871 is 55014102.
Find LCM of 363,638,522,871 with Prime Factorization
| 2 | 363, 638, 522, 871 |
| 3 | 363, 319, 261, 871 |
| 11 | 121, 319, 87, 871 |
| 29 | 11, 29, 87, 871 |
| 11, 1, 3, 871 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 29 x 11 x 1 x 3 x 871 = 55014102
Therefore, the lowest common multiple of 363,638,522,871 is 55014102.
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.
363 x 638 x 522 x 871 = 105296991228
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.
363 : 1, 3, 11, 33, 121, 363
638 : 1, 2, 11, 22, 29, 58, 319, 638
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,638,522,871, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
638:2x 11x 29
522:2x 3x 3x 29
871:13x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 29 = 1914
Therefore, the value for common factors is 1914.
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 = 105296991228/(1x1914)
LCM = 105296991228/1914
LCM = 55014102
Thus, we can understand that the LCM of 363,638,522,871 is 55014102.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 363, 638, 522, 871
1. What is the LCM of 363, 638, 522, 871?
Answer: LCM of 363, 638, 522, 871 is 55014102.
2. How to calculate the LCM of 363, 638, 522, 871?
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 363, 638, 522, 871.
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}.