Given Numbers are 976, 983

We can find the LCM of 976, 983 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 976 and 983

Multiples of 976 =976,1952,2928,3904,4880,5856,6832,7808,8784,9760,10736,11712,12688,13664,14640,15616,16592,

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 976, 983 which is 959408

So, the LCM of 976, 983 is 959408.

One method for determining the LCM of 976 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 976's prime factorization:

Prime factors of 976 are 2,61.

976 = 2⁴×61¹

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: 2,61,983

2⁴×61¹×983¹ = 959408

This shows that the LCM of 976 and 983 is 959408.

The first step in determining the Least Common Multiple of 976 and 983 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 976 and 983:

Lets look at the first ten multiples of these numbers, 976 and 983:

976,1952,2928,3904,4880,5856,6832,7808,8784,16592 are the first ten multiples of 976.

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 976 and 983, for example, are 11712, 16592, and 15728. 959408 is the least common multiple since it is the smallest.

976 and 983 have an LCM of 959408.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 976 and 983, than apply into the LCM equation.

GCF(976,983) = 1
LCM(976,983) = ( 976 × 983) / 1
LCM(976,983) = 959408 / 1
LCM(976,983) = 959408

1. What is the LCM of 976 and 983?

The LCM of 976 and 983 is 959408.

2. How to find the lowest common multiple of 976 and 983?

To find the lowest common multiple of 976 and 983, we have to get the multip;es of both numbers and identify the least common multiple in them which is 959408.

3. What are the Factors of 976?

Answer: Factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976. There are 10 integers that are factors of 976. The greatest factor of 976 is 976.

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 976 and 983 = 959408

Step 1: Find the prime factorization of 976

976 = 2 x 2 x 2 x 2 x 61

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 = 959408 = 2 x 2 x 2 x 2 x 61 x 983

Step 4: Therefore, the least common multiple of 976 and 983 is 959408.