LCM of 992, 421, 161, 496, 843
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 421, 161, 496, 843 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, 421, 161, 496, 843. So, keep reading to learn more.
Given numbers are 992,421,161,496,843
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,421,161,496,843 is 56682267936.
Find LCM of 992,421,161,496,843 with Prime Factorization
| 2 | 992, 421, 161, 496, 843 |
| 2 | 496, 421, 161, 248, 843 |
| 2 | 124, 421, 161, 248, 843 |
| 2 | 62, 421, 161, 124, 843 |
| 31 | 31, 421, 161, 62, 843 |
| 1, 421, 161, 2, 843 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 31 x 1 x 421 x 161 x 2 x 843 = 56682267936
Therefore, the lowest common multiple of 992,421,161,496,843 is 56682267936.
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 421 x 161 x 496 x 843 = 28114404896256
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
421 : 1, 421
161 : 1, 7, 23, 161
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
843 : 1, 3, 281, 843
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,421,161,496,843, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
421:421
161:7x 23
496:2x 2x 2x 2x 31
843:3x 281
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 31 = 496
Therefore, the value for common factors is 496.
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 = 28114404896256/(1x496)
LCM = 28114404896256/496
LCM = 56682267936
Thus, we can understand that the LCM of 992,421,161,496,843 is 56682267936.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 992, 421, 161, 496, 843
1. What is the LCM of 992, 421, 161, 496, 843?
Answer: LCM of 992, 421, 161, 496, 843 is 56682267936.
2. How to calculate the LCM of 992, 421, 161, 496, 843?
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, 421, 161, 496, 843.
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}.