LCM of 975 and 981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 975 and 981 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 318825 as output. Here you can check the answer for Find the LCM of 975 and 981.
What is LCM of 975 and 981
Given Numbers are 975, 981
We can find the LCM of 975, 981 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 975 and 981
Multiples of 975 =975,1950,2925,3900,4875,5850,6825,7800,8775,9750,10725,11700,12675,13650,14625,15600,16575,
Multiples of 981 =981,1962,2943,3924,4905,5886,6867,7848,8829,9810,10791,11772,12753,13734,14715,15696,16677,
Now, get the least common multiple of 975, 981 which is 318825
So, the LCM of 975, 981 is 318825.
Least Common Multiple (LCM) of 975 and 981 with the help of Prime Factorisation
One method for determining the LCM of 975 and 981 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 975's prime factorization:
| 3 | 975 |
| 5 | 325 |
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 975 are 3, 5,13.
975 = 31×52×131
And this is 981's prime factorization:
| 3 | 981 |
| 3 | 327 |
| 109 | 109 |
| 1 |
Prime factors of 981 are 3,109.
981 = 32×1091
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: 3, 5,13,109
.32×52×131×1091 = 318825
This shows that the LCM of 975 and 981 is 318825.
How to Calculate the LCM of 975 and 981 Using Common Multiples
The first step in determining the Least Common Multiple of 975 and 981 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 975 and 981:
Lets look at the first ten multiples of these numbers, 975 and 981:
975,1950,2925,3900,4875,5850,6825,7800,8775,16575 are the first ten multiples of 975.
981,1962,2943,3924,4905,5886,6867,7848,8829,16677 are the first ten multiples of 981.
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 975 and 981, for example, are 11700, 16575, and 15696. 318825 is the least common multiple since it is the smallest.
975 and 981 have an LCM of 318825.
Least Common Multiple of 975 and 981 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 975 and 981, than apply into the LCM equation.
GCF(975,981) = 3
LCM(975,981) = ( 975 × 981) / 3
LCM(975,981) = 956475 / 3
LCM(975,981) = 318825
Related Least Common Multiples of 975
Related Least Common Multiples of 981
Frequently Asked Questions on LCM of 975 and 981
1. What is the LCM of 975 and 981?
The LCM of 975 and 981 is 318825.
2. How to find the lowest common multiple of 975 and 981?
To find the lowest common multiple of 975 and 981, we have to get the multip;es of both numbers and identify the least common multiple in them which is 318825.
3. What are the Factors of 975?
Answer: Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975. There are 12 integers that are factors of 975. The greatest factor of 975 is 975.
4. What are the Factors of 981?
Answer: Factors of 981 are 1, 3, 9, 109, 327, 981. There are 6 integers that are factors of 981. The greatest factor of 981 is 981.
5. How to Find the LCM of 975 and 981?Answer:
Least Common Multiple of 975 and 981 = 318825
Step 1: Find the prime factorization of 975
975 = 3 x 5 x 5 x 13
Step 2: Find the prime factorization of 981
981 = 3 x 3 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 318825 = 3 x 3 x 5 x 5 x 13 x 109
Step 4: Therefore, the least common multiple of 975 and 981 is 318825.