LCM of 963 and 968
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 963 and 968 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 932184 as output. Here you can check the answer for Find the LCM of 963 and 968.
What is LCM of 963 and 968
Given Numbers are 963, 968
We can find the LCM of 963, 968 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 963 and 968
Multiples of 963 =963,1926,2889,3852,4815,5778,6741,7704,8667,9630,10593,11556,12519,13482,14445,15408,16371,
Multiples of 968 =968,1936,2904,3872,4840,5808,6776,7744,8712,9680,10648,11616,12584,13552,14520,15488,16456,
Now, get the least common multiple of 963, 968 which is 932184
So, the LCM of 963, 968 is 932184.
Least Common Multiple (LCM) of 963 and 968 with the help of Prime Factorisation
One method for determining the LCM of 963 and 968 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 963's prime factorization:
| 3 | 963 |
| 3 | 321 |
| 107 | 107 |
| 1 |
Prime factors of 963 are 3,107.
963 = 32×1071
And this is 968's prime factorization:
| 2 | 968 |
| 2 | 484 |
| 2 | 242 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 968 are 2,11.
968 = 23×112
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: 3,107, 2,11
.23×32×112×1071 = 932184
This shows that the LCM of 963 and 968 is 932184.
How to Calculate the LCM of 963 and 968 Using Common Multiples
The first step in determining the Least Common Multiple of 963 and 968 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 963 and 968:
Lets look at the first ten multiples of these numbers, 963 and 968:
963,1926,2889,3852,4815,5778,6741,7704,8667,16371 are the first ten multiples of 963.
968,1936,2904,3872,4840,5808,6776,7744,8712,16456 are the first ten multiples of 968.
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 963 and 968, for example, are 11556, 16371, and 15488. 932184 is the least common multiple since it is the smallest.
963 and 968 have an LCM of 932184.
Least Common Multiple of 963 and 968 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 963 and 968, than apply into the LCM equation.
GCF(963,968) = 1
LCM(963,968) = ( 963 × 968) / 1
LCM(963,968) = 932184 / 1
LCM(963,968) = 932184
Related Least Common Multiples of 963
Related Least Common Multiples of 968
Frequently Asked Questions on LCM of 963 and 968
1. What is the LCM of 963 and 968?
The LCM of 963 and 968 is 932184.
2. How to find the lowest common multiple of 963 and 968?
To find the lowest common multiple of 963 and 968, we have to get the multip;es of both numbers and identify the least common multiple in them which is 932184.
3. What are the Factors of 963?
Answer: Factors of 963 are 1, 3, 9, 107, 321, 963. There are 6 integers that are factors of 963. The greatest factor of 963 is 963.
4. What are the Factors of 968?
Answer: Factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968. There are 12 integers that are factors of 968. The greatest factor of 968 is 968.
5. How to Find the LCM of 963 and 968?Answer:
Least Common Multiple of 963 and 968 = 932184
Step 1: Find the prime factorization of 963
963 = 3 x 3 x 107
Step 2: Find the prime factorization of 968
968 = 2 x 2 x 2 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 932184 = 2 x 2 x 2 x 3 x 3 x 11 x 11 x 107
Step 4: Therefore, the least common multiple of 963 and 968 is 932184.