Given Numbers are 977, 983

We can find the LCM of 977, 983 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 977 and 983

Multiples of 977 =977,1954,2931,3908,4885,5862,6839,7816,8793,9770,10747,11724,12701,13678,14655,15632,16609,

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 977, 983 which is 960391

So, the LCM of 977, 983 is 960391.

One method for determining the LCM of 977 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 977's prime factorization:

Prime factors of 977 are 977.

977 = 977¹

And this is 983's prime factorization:

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:977,983

977¹×983¹ = 960391

This shows that the LCM of 977 and 983 is 960391.

The first step in determining the Least Common Multiple of 977 and 983 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 977 and 983:

Lets look at the first ten multiples of these numbers, 977 and 983:

977,1954,2931,3908,4885,5862,6839,7816,8793,16609 are the first ten multiples of 977.

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 977 and 983, for example, are 11724, 16609, and 15728. 960391 is the least common multiple since it is the smallest.

977 and 983 have an LCM of 960391.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 977 and 983, than apply into the LCM equation.

GCF(977,983) = 1
LCM(977,983) = ( 977 × 983) / 1
LCM(977,983) = 960391 / 1
LCM(977,983) = 960391

1. What is the LCM of 977 and 983?

The LCM of 977 and 983 is 960391.

2. How to find the lowest common multiple of 977 and 983?

To find the lowest common multiple of 977 and 983, we have to get the multip;es of both numbers and identify the least common multiple in them which is 960391.

3. What are the Factors of 977?

Answer: Factors of 977 are 1, 977. There are 2 integers that are factors of 977. The greatest factor of 977 is 977.

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.

Answer:

Least Common Multiple of 977 and 983 = 960391

Step 1: Find the prime factorization of 977

977 = 977

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 = 960391 = 977 x 983

Step 4: Therefore, the least common multiple of 977 and 983 is 960391.