LCM of 484, 586, 583, 370, 460
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 586, 583, 370, 460 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 484, 586, 583, 370, 460. So, keep reading to learn more.
Given numbers are 484,586,583,370,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,586,583,370,460 is 31980733180.
Find LCM of 484,586,583,370,460 with Prime Factorization
| 2 | 484, 586, 583, 370, 460 |
| 2 | 242, 293, 583, 185, 230 |
| 5 | 121, 293, 583, 185, 115 |
| 11 | 121, 293, 583, 37, 23 |
| 11, 293, 53, 37, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 11 x 293 x 53 x 37 x 23 = 31980733180
Therefore, the lowest common multiple of 484,586,583,370,460 is 31980733180.
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.
484 x 586 x 583 x 370 x 460 = 28143045198400
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
586 : 1, 2, 293, 586
583 : 1, 11, 53, 583
370 : 1, 2, 5, 10, 37, 74, 185, 370
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,586,583,370,460, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
586:2x 293
583:11x 53
370:2x 5x 37
460:2x 2x 5x 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 2x 2x 5x 11 = 880
Therefore, the value for common factors is 880.
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 = 28143045198400/(1x880)
LCM = 28143045198400/880
LCM = 31980733180
Thus, we can understand that the LCM of 484,586,583,370,460 is 31980733180.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 484, 586, 583, 370, 460
1. What is the LCM of 484, 586, 583, 370, 460?
Answer: LCM of 484, 586, 583, 370, 460 is 31980733180.
2. How to calculate the LCM of 484, 586, 583, 370, 460?
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 484, 586, 583, 370, 460.
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}.