LCM of 227, 286, 435, 494, 481
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 227, 286, 435, 494, 481 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 227, 286, 435, 494, 481. So, keep reading to learn more.
Given numbers are 227,286,435,494,481
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,286,435,494,481 is 19853472210.
Find LCM of 227,286,435,494,481 with Prime Factorization
| 2 | 227, 286, 435, 494, 481 |
| 13 | 227, 143, 435, 247, 481 |
| 227, 11, 435, 19, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 227 x 11 x 435 x 19 x 37 = 19853472210
Therefore, the lowest common multiple of 227,286,435,494,481 is 19853472210.
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.
227 x 286 x 435 x 494 x 481 = 6710473606980
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.
227 : 1, 227
286 : 1, 2, 11, 13, 22, 26, 143, 286
435 : 1, 3, 5, 15, 29, 87, 145, 435
494 : 1, 2, 13, 19, 26, 38, 247, 494
481 : 1, 13, 37, 481
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,286,435,494,481, is 1.
Now, the common factors can be found like this.
227:227
286:2x 11x 13
435:3x 5x 29
494:2x 13x 19
481:13x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 6710473606980/(1x338)
LCM = 6710473606980/338
LCM = 19853472210
Thus, we can understand that the LCM of 227,286,435,494,481 is 19853472210.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 227, 286, 435, 494, 481
1. What is the LCM of 227, 286, 435, 494, 481?
Answer: LCM of 227, 286, 435, 494, 481 is 19853472210.
2. How to calculate the LCM of 227, 286, 435, 494, 481?
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 227, 286, 435, 494, 481.
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}.