LCM of 638, 144, 216, 393
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 144, 216, 393 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 638, 144, 216, 393. So, keep reading to learn more.
Given numbers are 638,144,216,393
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,144,216,393 is 18052848.
Find LCM of 638,144,216,393 with Prime Factorization
| 2 | 638, 144, 216, 393 |
| 2 | 319, 72, 108, 393 |
| 2 | 319, 36, 54, 393 |
| 3 | 319, 18, 27, 393 |
| 3 | 319, 6, 9, 131 |
| 319, 2, 3, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 319 x 2 x 3 x 131 = 18052848
Therefore, the lowest common multiple of 638,144,216,393 is 18052848.
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.
638 x 144 x 216 x 393 = 7798830336
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
393 : 1, 3, 131, 393
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,144,216,393, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
144:2x 2x 2x 2x 3x 3
216:2x 2x 2x 3x 3x 3
393:3x 131
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 2x 2x 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 7798830336/(1x432)
LCM = 7798830336/432
LCM = 18052848
Thus, we can understand that the LCM of 638,144,216,393 is 18052848.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 638, 144, 216, 393
1. What is the LCM of 638, 144, 216, 393?
Answer: LCM of 638, 144, 216, 393 is 18052848.
2. How to calculate the LCM of 638, 144, 216, 393?
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 638, 144, 216, 393.
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}.