LCM of 494, 460, 289, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 494, 460, 289, 782 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 494, 460, 289, 782. So, keep reading to learn more.
Given numbers are 494,460,289,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,460,289,782 is 32836180.
Find LCM of 494,460,289,782 with Prime Factorization
| 2 | 494, 460, 289, 782 |
| 17 | 247, 230, 289, 391 |
| 23 | 247, 230, 17, 23 |
| 247, 10, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 23 x 247 x 10 x 17 x 1 = 32836180
Therefore, the lowest common multiple of 494,460,289,782 is 32836180.
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.
494 x 460 x 289 x 782 = 51355785520
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
289 : 1, 17, 289
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,460,289,782, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
460:2x 2x 5x 23
289:17x 17
782:2x 17x 23
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 17x 23 = 1564
Therefore, the value for common factors is 1564.
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 = 51355785520/(1x1564)
LCM = 51355785520/1564
LCM = 32836180
Thus, we can understand that the LCM of 494,460,289,782 is 32836180.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 494, 460, 289, 782
1. What is the LCM of 494, 460, 289, 782?
Answer: LCM of 494, 460, 289, 782 is 32836180.
2. How to calculate the LCM of 494, 460, 289, 782?
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 494, 460, 289, 782.
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}.