LCM of 998, 524, 884, 754, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 998, 524, 884, 754, 323 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 998, 524, 884, 754, 323. So, keep reading to learn more.
Given numbers are 998,524,884,754,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,524,884,754,323 is 31840193996.
Find LCM of 998,524,884,754,323 with Prime Factorization
| 2 | 998, 524, 884, 754, 323 |
| 2 | 499, 262, 442, 377, 323 |
| 13 | 499, 131, 221, 377, 323 |
| 17 | 499, 131, 17, 29, 323 |
| 499, 131, 1, 29, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 17 x 499 x 131 x 1 x 29 x 19 = 31840193996
Therefore, the lowest common multiple of 998,524,884,754,323 is 31840193996.
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.
998 x 524 x 884 x 754 x 323 = 112586925969856
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.
998 : 1, 2, 499, 998
524 : 1, 2, 4, 131, 262, 524
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
754 : 1, 2, 13, 26, 29, 58, 377, 754
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,524,884,754,323, is 1.
Now, the common factors can be found like this.
998:2x 499
524:2x 2x 131
884:2x 2x 13x 17
754:2x 13x 29
323:17x 19
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 13x 17 = 3536
Therefore, the value for common factors is 3536.
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 = 112586925969856/(1x3536)
LCM = 112586925969856/3536
LCM = 31840193996
Thus, we can understand that the LCM of 998,524,884,754,323 is 31840193996.
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FAQs on LCM of 998, 524, 884, 754, 323
1. What is the LCM of 998, 524, 884, 754, 323?
Answer: LCM of 998, 524, 884, 754, 323 is 31840193996.
2. How to calculate the LCM of 998, 524, 884, 754, 323?
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 998, 524, 884, 754, 323.
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}.