LCM of 996, 988, 428, 598, 582
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 996, 988, 428, 598, 582 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 996, 988, 428, 598, 582. So, keep reading to learn more.
Given numbers are 996,988,428,598,582
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 996,988,428,598,582 is 58727246604.
Find LCM of 996,988,428,598,582 with Prime Factorization
| 2 | 996, 988, 428, 598, 582 |
| 2 | 498, 494, 214, 299, 291 |
| 3 | 249, 247, 107, 299, 291 |
| 13 | 83, 247, 107, 299, 97 |
| 83, 19, 107, 23, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 83 x 19 x 107 x 23 x 97 = 58727246604
Therefore, the lowest common multiple of 996,988,428,598,582 is 58727246604.
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.
996 x 988 x 428 x 598 x 582 = 146583207523584
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.
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
428 : 1, 2, 4, 107, 214, 428
598 : 1, 2, 13, 23, 26, 46, 299, 598
582 : 1, 2, 3, 6, 97, 194, 291, 582
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,988,428,598,582, is 2.
Now, the common factors can be found like this.
996:2x 2x 3x 83
988:2x 2x 13x 19
428:2x 2x 107
598:2x 13x 23
582:2x 3x 97
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 3x 13 = 1248
Therefore, the value for common factors is 1248.
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 = 146583207523584/(2x1248)
LCM = 146583207523584/2496
LCM = 58727246604
Thus, we can understand that the LCM of 996,988,428,598,582 is 58727246604.
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FAQs on LCM of 996, 988, 428, 598, 582
1. What is the LCM of 996, 988, 428, 598, 582?
Answer: LCM of 996, 988, 428, 598, 582 is 58727246604.
2. How to calculate the LCM of 996, 988, 428, 598, 582?
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 996, 988, 428, 598, 582.
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}.