LCM of 979 and 984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 979 and 984 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 963336 as output. Here you can check the answer for Find the LCM of 979 and 984.
What is LCM of 979 and 984
Given Numbers are 979, 984
We can find the LCM of 979, 984 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 979 and 984
Multiples of 979 =979,1958,2937,3916,4895,5874,6853,7832,8811,9790,10769,11748,12727,13706,14685,15664,16643,
Multiples of 984 =984,1968,2952,3936,4920,5904,6888,7872,8856,9840,10824,11808,12792,13776,14760,15744,16728,
Now, get the least common multiple of 979, 984 which is 963336
So, the LCM of 979, 984 is 963336.
Least Common Multiple (LCM) of 979 and 984 with the help of Prime Factorisation
One method for determining the LCM of 979 and 984 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 984's prime factorization:
| 2 | 984 |
| 2 | 492 |
| 2 | 246 |
| 3 | 123 |
| 41 | 41 |
| 1 |
Prime factors of 984 are 2, 3,41.
984 = 23×31×411
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, 2, 3,41
.23×31×111×411×891 = 963336
This shows that the LCM of 979 and 984 is 963336.
How to Calculate the LCM of 979 and 984 Using Common Multiples
The first step in determining the Least Common Multiple of 979 and 984 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 979 and 984:
Lets look at the first ten multiples of these numbers, 979 and 984:
979,1958,2937,3916,4895,5874,6853,7832,8811,16643 are the first ten multiples of 979.
984,1968,2952,3936,4920,5904,6888,7872,8856,16728 are the first ten multiples of 984.
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 984, for example, are 11748, 16643, and 15744. 963336 is the least common multiple since it is the smallest.
979 and 984 have an LCM of 963336.
Least Common Multiple of 979 and 984 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 984, than apply into the LCM equation.
GCF(979,984) = 1
LCM(979,984) = ( 979 × 984) / 1
LCM(979,984) = 963336 / 1
LCM(979,984) = 963336
Related Least Common Multiples of 979
Related Least Common Multiples of 984
Frequently Asked Questions on LCM of 979 and 984
1. What is the LCM of 979 and 984?
The LCM of 979 and 984 is 963336.
2. How to find the lowest common multiple of 979 and 984?
To find the lowest common multiple of 979 and 984, we have to get the multip;es of both numbers and identify the least common multiple in them which is 963336.
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 984?
Answer: Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984. There are 16 integers that are factors of 984. The greatest factor of 984 is 984.
5. How to Find the LCM of 979 and 984?Answer:
Least Common Multiple of 979 and 984 = 963336
Step 1: Find the prime factorization of 979
979 = 11 x 89
Step 2: Find the prime factorization of 984
984 = 2 x 2 x 2 x 3 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 963336 = 2 x 2 x 2 x 3 x 11 x 41 x 89
Step 4: Therefore, the least common multiple of 979 and 984 is 963336.