LCM of 979 and 987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 979 and 987 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 966273 as output. Here you can check the answer for Find the LCM of 979 and 987.
What is LCM of 979 and 987
Given Numbers are 979, 987
We can find the LCM of 979, 987 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 979 and 987
Multiples of 979 =979,1958,2937,3916,4895,5874,6853,7832,8811,9790,10769,11748,12727,13706,14685,15664,16643,
Multiples of 987 =987,1974,2961,3948,4935,5922,6909,7896,8883,9870,10857,11844,12831,13818,14805,15792,16779,
Now, get the least common multiple of 979, 987 which is 966273
So, the LCM of 979, 987 is 966273.
Least Common Multiple (LCM) of 979 and 987 with the help of Prime Factorisation
One method for determining the LCM of 979 and 987 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 979's prime factorization:
| 11 | 979 |
| 89 | 89 |
| 1 |
Prime factors of 979 are 11,89.
979 = 111×891
And this is 987's prime factorization:
| 3 | 987 |
| 7 | 329 |
| 47 | 47 |
| 1 |
Prime factors of 987 are 3, 7,47.
987 = 31×71×471
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: 11,89, 3, 7,47
.31×71×111×471×891 = 966273
This shows that the LCM of 979 and 987 is 966273.
How to Calculate the LCM of 979 and 987 Using Common Multiples
The first step in determining the Least Common Multiple of 979 and 987 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 979 and 987:
Lets look at the first ten multiples of these numbers, 979 and 987:
979,1958,2937,3916,4895,5874,6853,7832,8811,16643 are the first ten multiples of 979.
987,1974,2961,3948,4935,5922,6909,7896,8883,16779 are the first ten multiples of 987.
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 979 and 987, for example, are 11748, 16643, and 15792. 966273 is the least common multiple since it is the smallest.
979 and 987 have an LCM of 966273.
Least Common Multiple of 979 and 987 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 979 and 987, than apply into the LCM equation.
GCF(979,987) = 1
LCM(979,987) = ( 979 × 987) / 1
LCM(979,987) = 966273 / 1
LCM(979,987) = 966273
Related Least Common Multiples of 979
Related Least Common Multiples of 987
Frequently Asked Questions on LCM of 979 and 987
1. What is the LCM of 979 and 987?
The LCM of 979 and 987 is 966273.
2. How to find the lowest common multiple of 979 and 987?
To find the lowest common multiple of 979 and 987, we have to get the multip;es of both numbers and identify the least common multiple in them which is 966273.
3. What are the Factors of 979?
Answer: Factors of 979 are 1, 11, 89, 979. There are 4 integers that are factors of 979. The greatest factor of 979 is 979.
4. What are the Factors of 987?
Answer: Factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987. There are 8 integers that are factors of 987. The greatest factor of 987 is 987.
5. How to Find the LCM of 979 and 987?Answer:
Least Common Multiple of 979 and 987 = 966273
Step 1: Find the prime factorization of 979
979 = 11 x 89
Step 2: Find the prime factorization of 987
987 = 3 x 7 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 966273 = 3 x 7 x 11 x 47 x 89
Step 4: Therefore, the least common multiple of 979 and 987 is 966273.