LCM of 972 and 979
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 972 and 979 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 951588 as output. Here you can check the answer for Find the LCM of 972 and 979.
What is LCM of 972 and 979
Given Numbers are 972, 979
We can find the LCM of 972, 979 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 972 and 979
Multiples of 972 =972,1944,2916,3888,4860,5832,6804,7776,8748,9720,10692,11664,12636,13608,14580,15552,16524,
Multiples of 979 =979,1958,2937,3916,4895,5874,6853,7832,8811,9790,10769,11748,12727,13706,14685,15664,16643,
Now, get the least common multiple of 972, 979 which is 951588
So, the LCM of 972, 979 is 951588.
Least Common Multiple (LCM) of 972 and 979 with the help of Prime Factorisation
One method for determining the LCM of 972 and 979 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 972's prime factorization:
| 2 | 972 |
| 2 | 486 |
| 3 | 243 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 972 are 2,3.
972 = 22×35
And this is 979's prime factorization:
| 11 | 979 |
| 89 | 89 |
| 1 |
Prime factors of 979 are 11,89.
979 = 111×891
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: 2,3, 11,89
.22×35×111×891 = 951588
This shows that the LCM of 972 and 979 is 951588.
How to Calculate the LCM of 972 and 979 Using Common Multiples
The first step in determining the Least Common Multiple of 972 and 979 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 972 and 979:
Lets look at the first ten multiples of these numbers, 972 and 979:
972,1944,2916,3888,4860,5832,6804,7776,8748,16524 are the first ten multiples of 972.
979,1958,2937,3916,4895,5874,6853,7832,8811,16643 are the first ten multiples of 979.
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 972 and 979, for example, are 11664, 16524, and 15664. 951588 is the least common multiple since it is the smallest.
972 and 979 have an LCM of 951588.
Least Common Multiple of 972 and 979 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 972 and 979, than apply into the LCM equation.
GCF(972,979) = 1
LCM(972,979) = ( 972 × 979) / 1
LCM(972,979) = 951588 / 1
LCM(972,979) = 951588
Related Least Common Multiples of 972
Related Least Common Multiples of 979
Frequently Asked Questions on LCM of 972 and 979
1. What is the LCM of 972 and 979?
The LCM of 972 and 979 is 951588.
2. How to find the lowest common multiple of 972 and 979?
To find the lowest common multiple of 972 and 979, we have to get the multip;es of both numbers and identify the least common multiple in them which is 951588.
3. What are the Factors of 972?
Answer: Factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972. There are 18 integers that are factors of 972. The greatest factor of 972 is 972.
4. 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.
5. How to Find the LCM of 972 and 979?Answer:
Least Common Multiple of 972 and 979 = 951588
Step 1: Find the prime factorization of 972
972 = 2 x 2 x 3 x 3 x 3 x 3 x 3
Step 2: Find the prime factorization of 979
979 = 11 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 951588 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 11 x 89
Step 4: Therefore, the least common multiple of 972 and 979 is 951588.