LCM of 992, 896, 204, 323, 662
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 896, 204, 323, 662 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 992, 896, 204, 323, 662. So, keep reading to learn more.
Given numbers are 992,896,204,323,662
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,896,204,323,662 is 8908846464.
Find LCM of 992,896,204,323,662 with Prime Factorization
| 2 | 992, 896, 204, 323, 662 |
| 2 | 496, 448, 102, 323, 331 |
| 2 | 248, 224, 51, 323, 331 |
| 2 | 124, 112, 51, 323, 331 |
| 2 | 62, 56, 51, 323, 331 |
| 17 | 31, 28, 51, 323, 331 |
| 31, 28, 3, 19, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 17 x 31 x 28 x 3 x 19 x 331 = 8908846464
Therefore, the lowest common multiple of 992,896,204,323,662 is 8908846464.
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.
992 x 896 x 204 x 323 x 662 = 38771299811328
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.
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
323 : 1, 17, 19, 323
662 : 1, 2, 331, 662
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,896,204,323,662, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
896:2x 2x 2x 2x 2x 2x 2x 7
204:2x 2x 3x 17
323:17x 19
662:2x 331
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 2x 2x 2x 17 = 4352
Therefore, the value for common factors is 4352.
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 = 38771299811328/(1x4352)
LCM = 38771299811328/4352
LCM = 8908846464
Thus, we can understand that the LCM of 992,896,204,323,662 is 8908846464.
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FAQs on LCM of 992, 896, 204, 323, 662
1. What is the LCM of 992, 896, 204, 323, 662?
Answer: LCM of 992, 896, 204, 323, 662 is 8908846464.
2. How to calculate the LCM of 992, 896, 204, 323, 662?
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 992, 896, 204, 323, 662.
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}.