LCM of 977 and 985
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 977 and 985 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 962345 as output. Here you can check the answer for Find the LCM of 977 and 985.
What is LCM of 977 and 985
Given Numbers are 977, 985
We can find the LCM of 977, 985 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 977 and 985
Multiples of 977 =977,1954,2931,3908,4885,5862,6839,7816,8793,9770,10747,11724,12701,13678,14655,15632,16609,
Multiples of 985 =985,1970,2955,3940,4925,5910,6895,7880,8865,9850,10835,11820,12805,13790,14775,15760,16745,
Now, get the least common multiple of 977, 985 which is 962345
So, the LCM of 977, 985 is 962345.
Least Common Multiple (LCM) of 977 and 985 with the help of Prime Factorisation
One method for determining the LCM of 977 and 985 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 977's prime factorization:
| 977 | 977 |
| 1 |
Prime factors of 977 are 977.
977 = 9771
And this is 985's prime factorization:
| 5 | 985 |
| 197 | 197 |
| 1 |
Prime factors of 985 are 5,197.
985 = 51×1971
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:977, 5,197
.51×1971×9771 = 962345
This shows that the LCM of 977 and 985 is 962345.
How to Calculate the LCM of 977 and 985 Using Common Multiples
The first step in determining the Least Common Multiple of 977 and 985 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 977 and 985:
Lets look at the first ten multiples of these numbers, 977 and 985:
977,1954,2931,3908,4885,5862,6839,7816,8793,16609 are the first ten multiples of 977.
985,1970,2955,3940,4925,5910,6895,7880,8865,16745 are the first ten multiples of 985.
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 977 and 985, for example, are 11724, 16609, and 15760. 962345 is the least common multiple since it is the smallest.
977 and 985 have an LCM of 962345.
Least Common Multiple of 977 and 985 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 977 and 985, than apply into the LCM equation.
GCF(977,985) = 1
LCM(977,985) = ( 977 × 985) / 1
LCM(977,985) = 962345 / 1
LCM(977,985) = 962345
Related Least Common Multiples of 977
Related Least Common Multiples of 985
Frequently Asked Questions on LCM of 977 and 985
1. What is the LCM of 977 and 985?
The LCM of 977 and 985 is 962345.
2. How to find the lowest common multiple of 977 and 985?
To find the lowest common multiple of 977 and 985, we have to get the multip;es of both numbers and identify the least common multiple in them which is 962345.
3. What are the Factors of 977?
Answer: Factors of 977 are 1, 977. There are 2 integers that are factors of 977. The greatest factor of 977 is 977.
4. 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.
5. How to Find the LCM of 977 and 985?Answer:
Least Common Multiple of 977 and 985 = 962345
Step 1: Find the prime factorization of 977
977 = 977
Step 2: Find the prime factorization of 985
985 = 5 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 962345 = 5 x 197 x 977
Step 4: Therefore, the least common multiple of 977 and 985 is 962345.