Given Numbers are 976, 982

We can find the LCM of 976, 982 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 976 and 982

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

Multiples of 982 =982,1964,2946,3928,4910,5892,6874,7856,8838,9820,10802,11784,12766,13748,14730,15712,16694,

Now, get the least common multiple of 976, 982 which is 479216

So, the LCM of 976, 982 is 479216.

One method for determining the LCM of 976 and 982 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 982's prime factorization:

Prime factors of 982 are 2,491.

982 = 2¹×491¹

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: 2,61,491

2⁴×61¹×491¹ = 479216

This shows that the LCM of 976 and 982 is 479216.

The first step in determining the Least Common Multiple of 976 and 982 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 976 and 982:

Lets look at the first ten multiples of these numbers, 976 and 982:

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

982,1964,2946,3928,4910,5892,6874,7856,8838,16694 are the first ten multiples of 982.

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 982, for example, are 11712, 16592, and 15712. 479216 is the least common multiple since it is the smallest.

976 and 982 have an LCM of 479216.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 976 and 982, than apply into the LCM equation.

GCF(976,982) = 2
LCM(976,982) = ( 976 × 982) / 2
LCM(976,982) = 958432 / 2
LCM(976,982) = 479216

1. What is the LCM of 976 and 982?

The LCM of 976 and 982 is 479216.

2. How to find the lowest common multiple of 976 and 982?

To find the lowest common multiple of 976 and 982, we have to get the multip;es of both numbers and identify the least common multiple in them which is 479216.

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 982?

Answer: Factors of 982 are 1, 2, 491, 982. There are 4 integers that are factors of 982. The greatest factor of 982 is 982.

Answer:

Least Common Multiple of 976 and 982 = 479216

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 982

982 = 2 x 491

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 479216 = 2 x 2 x 2 x 2 x 61 x 491

Step 4: Therefore, the least common multiple of 976 and 982 is 479216.