LCM of 978 and 983
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 978 and 983 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 961374 as output. Here you can check the answer for Find the LCM of 978 and 983.
What is LCM of 978 and 983
Given Numbers are 978, 983
We can find the LCM of 978, 983 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 978 and 983
Multiples of 978 =978,1956,2934,3912,4890,5868,6846,7824,8802,9780,10758,11736,12714,13692,14670,15648,16626,
Multiples of 983 =983,1966,2949,3932,4915,5898,6881,7864,8847,9830,10813,11796,12779,13762,14745,15728,16711,
Now, get the least common multiple of 978, 983 which is 961374
So, the LCM of 978, 983 is 961374.
Least Common Multiple (LCM) of 978 and 983 with the help of Prime Factorisation
One method for determining the LCM of 978 and 983 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 978's prime factorization:
| 2 | 978 |
| 3 | 489 |
| 163 | 163 |
| 1 |
Prime factors of 978 are 2, 3,163.
978 = 21×31×1631
And this is 983's prime factorization:
| 983 | 983 |
| 1 |
Prime factors of 983 are 983.
983 = 9831
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, 3,163,983
.21×31×1631×9831 = 961374
This shows that the LCM of 978 and 983 is 961374.
How to Calculate the LCM of 978 and 983 Using Common Multiples
The first step in determining the Least Common Multiple of 978 and 983 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 978 and 983:
Lets look at the first ten multiples of these numbers, 978 and 983:
978,1956,2934,3912,4890,5868,6846,7824,8802,16626 are the first ten multiples of 978.
983,1966,2949,3932,4915,5898,6881,7864,8847,16711 are the first ten multiples of 983.
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 978 and 983, for example, are 11736, 16626, and 15728. 961374 is the least common multiple since it is the smallest.
978 and 983 have an LCM of 961374.
Least Common Multiple of 978 and 983 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 978 and 983, than apply into the LCM equation.
GCF(978,983) = 1
LCM(978,983) = ( 978 × 983) / 1
LCM(978,983) = 961374 / 1
LCM(978,983) = 961374
Related Least Common Multiples of 978
Related Least Common Multiples of 983
Frequently Asked Questions on LCM of 978 and 983
1. What is the LCM of 978 and 983?
The LCM of 978 and 983 is 961374.
2. How to find the lowest common multiple of 978 and 983?
To find the lowest common multiple of 978 and 983, we have to get the multip;es of both numbers and identify the least common multiple in them which is 961374.
3. What are the Factors of 978?
Answer: Factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978. There are 8 integers that are factors of 978. The greatest factor of 978 is 978.
4. What are the Factors of 983?
Answer: Factors of 983 are 1, 983. There are 2 integers that are factors of 983. The greatest factor of 983 is 983.
5. How to Find the LCM of 978 and 983?Answer:
Least Common Multiple of 978 and 983 = 961374
Step 1: Find the prime factorization of 978
978 = 2 x 3 x 163
Step 2: Find the prime factorization of 983
983 = 983
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 961374 = 2 x 3 x 163 x 983
Step 4: Therefore, the least common multiple of 978 and 983 is 961374.