LCM of 202, 289, 404, 736, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 202, 289, 404, 736, 493 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 202, 289, 404, 736, 493. So, keep reading to learn more.
Given numbers are 202,289,404,736,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 202,289,404,736,493 is 623010016.
Find LCM of 202,289,404,736,493 with Prime Factorization
| 2 | 202, 289, 404, 736, 493 |
| 2 | 101, 289, 202, 368, 493 |
| 17 | 101, 289, 101, 184, 493 |
| 101 | 101, 17, 101, 184, 29 |
| 1, 17, 1, 184, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 101 x 1 x 17 x 1 x 184 x 29 = 623010016
Therefore, the lowest common multiple of 202,289,404,736,493 is 623010016.
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.
202 x 289 x 404 x 736 x 493 = 8557665579776
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.
202 : 1, 2, 101, 202
289 : 1, 17, 289
404 : 1, 2, 4, 101, 202, 404
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,289,404,736,493, is 1.
Now, the common factors can be found like this.
202:2x 101
289:17x 17
404:2x 2x 101
736:2x 2x 2x 2x 2x 23
493:17x 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 2x 17x 101 = 13736
Therefore, the value for common factors is 13736.
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 = 8557665579776/(1x13736)
LCM = 8557665579776/13736
LCM = 623010016
Thus, we can understand that the LCM of 202,289,404,736,493 is 623010016.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 202, 289, 404, 736, 493
1. What is the LCM of 202, 289, 404, 736, 493?
Answer: LCM of 202, 289, 404, 736, 493 is 623010016.
2. How to calculate the LCM of 202, 289, 404, 736, 493?
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 202, 289, 404, 736, 493.
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}.