LCM of 484, 572, 580, 845, 998
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 572, 580, 845, 998 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, 572, 580, 845, 998. So, keep reading to learn more.
Given numbers are 484,572,580,845,998
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,572,580,845,998 is 5918349580.
Find LCM of 484,572,580,845,998 with Prime Factorization
| 2 | 484, 572, 580, 845, 998 |
| 2 | 242, 286, 290, 845, 499 |
| 5 | 121, 143, 145, 845, 499 |
| 11 | 121, 143, 29, 169, 499 |
| 13 | 11, 13, 29, 169, 499 |
| 11, 1, 29, 13, 499 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 13 x 11 x 1 x 29 x 13 x 499 = 5918349580
Therefore, the lowest common multiple of 484,572,580,845,998 is 5918349580.
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 572 x 580 x 845 x 998 = 135411838390400
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
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
845 : 1, 5, 13, 65, 169, 845
998 : 1, 2, 499, 998
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,572,580,845,998, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
572:2x 2x 11x 13
580:2x 2x 5x 29
845:5x 13x 13
998:2x 499
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 2x 5x 11x 13 = 22880
Therefore, the value for common factors is 22880.
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 = 135411838390400/(1x22880)
LCM = 135411838390400/22880
LCM = 5918349580
Thus, we can understand that the LCM of 484,572,580,845,998 is 5918349580.
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FAQs on LCM of 484, 572, 580, 845, 998
1. What is the LCM of 484, 572, 580, 845, 998?
Answer: LCM of 484, 572, 580, 845, 998 is 5918349580.
2. How to calculate the LCM of 484, 572, 580, 845, 998?
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, 572, 580, 845, 998.
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}.