LCM of 985 and 992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 985 and 992 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 977120 as output. Here you can check the answer for Find the LCM of 985 and 992.
What is LCM of 985 and 992
Given Numbers are 985, 992
We can find the LCM of 985, 992 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 985 and 992
Multiples of 985 =985,1970,2955,3940,4925,5910,6895,7880,8865,9850,10835,11820,12805,13790,14775,15760,16745,
Multiples of 992 =992,1984,2976,3968,4960,5952,6944,7936,8928,9920,10912,11904,12896,13888,14880,15872,16864,
Now, get the least common multiple of 985, 992 which is 977120
So, the LCM of 985, 992 is 977120.
Least Common Multiple (LCM) of 985 and 992 with the help of Prime Factorisation
One method for determining the LCM of 985 and 992 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:
Here is 985's prime factorization:
| 5 | 985 |
| 197 | 197 |
| 1 |
Prime factors of 985 are 5,197.
985 = 51×1971
And this is 992's prime factorization:
| 2 | 992 |
| 2 | 496 |
| 2 | 248 |
| 2 | 124 |
| 2 | 62 |
| 31 | 31 |
| 1 |
Prime factors of 992 are 2,31.
992 = 25×311
When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 5,197, 2,31
.25×51×311×1971 = 977120
This shows that the LCM of 985 and 992 is 977120.
How to Calculate the LCM of 985 and 992 Using Common Multiples
The first step in determining the Least Common Multiple of 985 and 992 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 985 and 992:
Lets look at the first ten multiples of these numbers, 985 and 992:
985,1970,2955,3940,4925,5910,6895,7880,8865,16745 are the first ten multiples of 985.
992,1984,2976,3968,4960,5952,6944,7936,8928,16864 are the first ten multiples of 992.
You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 985 and 992, for example, are 11820, 16745, and 15872. 977120 is the least common multiple since it is the smallest.
985 and 992 have an LCM of 977120.
Least Common Multiple of 985 and 992 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 985 and 992, than apply into the LCM equation.
GCF(985,992) = 1
LCM(985,992) = ( 985 × 992) / 1
LCM(985,992) = 977120 / 1
LCM(985,992) = 977120
Related Least Common Multiples of 985
Related Least Common Multiples of 992
Frequently Asked Questions on LCM of 985 and 992
1. What is the LCM of 985 and 992?
The LCM of 985 and 992 is 977120.
2. How to find the lowest common multiple of 985 and 992?
To find the lowest common multiple of 985 and 992, we have to get the multip;es of both numbers and identify the least common multiple in them which is 977120.
3. What are the Factors of 985?
Answer: Factors of 985 are 1, 5, 197, 985. There are 4 integers that are factors of 985. The greatest factor of 985 is 985.
4. What are the Factors of 992?
Answer: Factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992. There are 12 integers that are factors of 992. The greatest factor of 992 is 992.
5. How to Find the LCM of 985 and 992?Answer:
Least Common Multiple of 985 and 992 = 977120
Step 1: Find the prime factorization of 985
985 = 5 x 197
Step 2: Find the prime factorization of 992
992 = 2 x 2 x 2 x 2 x 2 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 977120 = 2 x 2 x 2 x 2 x 2 x 5 x 31 x 197
Step 4: Therefore, the least common multiple of 985 and 992 is 977120.