LCM of 992, 872, 141, 799, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 872, 141, 799, 198 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, 872, 141, 799, 198. So, keep reading to learn more.
Given numbers are 992,872,141,799,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,872,141,799,198 is 8553032928.
Find LCM of 992,872,141,799,198 with Prime Factorization
| 2 | 992, 872, 141, 799, 198 |
| 2 | 496, 436, 141, 799, 99 |
| 2 | 248, 218, 141, 799, 99 |
| 3 | 124, 109, 141, 799, 99 |
| 47 | 124, 109, 47, 799, 33 |
| 124, 109, 1, 17, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 47 x 124 x 109 x 1 x 17 x 33 = 8553032928
Therefore, the lowest common multiple of 992,872,141,799,198 is 8553032928.
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 872 x 141 x 799 x 198 = 19295642285568
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
872 : 1, 2, 4, 8, 109, 218, 436, 872
141 : 1, 3, 47, 141
799 : 1, 17, 47, 799
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,872,141,799,198, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
872:2x 2x 2x 109
141:3x 47
799:17x 47
198:2x 3x 3x 11
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 3x 47 = 2256
Therefore, the value for common factors is 2256.
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 = 19295642285568/(1x2256)
LCM = 19295642285568/2256
LCM = 8553032928
Thus, we can understand that the LCM of 992,872,141,799,198 is 8553032928.
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FAQs on LCM of 992, 872, 141, 799, 198
1. What is the LCM of 992, 872, 141, 799, 198?
Answer: LCM of 992, 872, 141, 799, 198 is 8553032928.
2. How to calculate the LCM of 992, 872, 141, 799, 198?
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, 872, 141, 799, 198.
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}.