LCM of 992, 832, 242, 772, 992
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 832, 242, 772, 992 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, 832, 242, 772, 992. So, keep reading to learn more.
Given numbers are 992,832,242,772,992
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,832,242,772,992 is 602320576.
Find LCM of 992,832,242,772,992 with Prime Factorization
| 2 | 992, 832, 242, 772, 992 |
| 2 | 496, 416, 121, 386, 496 |
| 2 | 248, 208, 121, 193, 248 |
| 2 | 124, 104, 121, 193, 124 |
| 2 | 62, 52, 121, 193, 62 |
| 31 | 31, 26, 121, 193, 31 |
| 1, 26, 121, 193, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 31 x 1 x 26 x 121 x 193 x 1 = 602320576
Therefore, the lowest common multiple of 992,832,242,772,992 is 602320576.
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 832 x 242 x 772 x 992 = 152960514916352
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
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
242 : 1, 2, 11, 22, 121, 242
772 : 1, 2, 4, 193, 386, 772
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,832,242,772,992, is 2.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
832:2x 2x 2x 2x 2x 2x 13
242:2x 11x 11
772:2x 2x 193
992:2x 2x 2x 2x 2x 31
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 2x 2x 2x 2x 31 = 126976
Therefore, the value for common factors is 126976.
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 = 152960514916352/(2x126976)
LCM = 152960514916352/253952
LCM = 602320576
Thus, we can understand that the LCM of 992,832,242,772,992 is 602320576.
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FAQs on LCM of 992, 832, 242, 772, 992
1. What is the LCM of 992, 832, 242, 772, 992?
Answer: LCM of 992, 832, 242, 772, 992 is 602320576.
2. How to calculate the LCM of 992, 832, 242, 772, 992?
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, 832, 242, 772, 992.
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}.