LCM of 230, 506, 394, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 506, 394, 638 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 230, 506, 394, 638. So, keep reading to learn more.
Given numbers are 230,506,394,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,506,394,638 is 14453890.
Find LCM of 230,506,394,638 with Prime Factorization
| 2 | 230, 506, 394, 638 |
| 11 | 115, 253, 197, 319 |
| 23 | 115, 23, 197, 29 |
| 5, 1, 197, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 5 x 1 x 197 x 29 = 14453890
Therefore, the lowest common multiple of 230,506,394,638 is 14453890.
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.
230 x 506 x 394 x 638 = 29254673360
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
506 : 1, 2, 11, 22, 23, 46, 253, 506
394 : 1, 2, 197, 394
638 : 1, 2, 11, 22, 29, 58, 319, 638
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,506,394,638, is 2.
Now, the common factors can be found like this.
230:2x 5x 23
506:2x 11x 23
394:2x 197
638:2x 11x 29
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 11x 23 = 1012
Therefore, the value for common factors is 1012.
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 = 29254673360/(2x1012)
LCM = 29254673360/2024
LCM = 14453890
Thus, we can understand that the LCM of 230,506,394,638 is 14453890.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 230, 506, 394, 638
1. What is the LCM of 230, 506, 394, 638?
Answer: LCM of 230, 506, 394, 638 is 14453890.
2. How to calculate the LCM of 230, 506, 394, 638?
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 230, 506, 394, 638.
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}.