Given Numbers are 976, 984

We can find the LCM of 976, 984 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 976 and 984

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

Multiples of 984 =984,1968,2952,3936,4920,5904,6888,7872,8856,9840,10824,11808,12792,13776,14760,15744,16728,

Now, get the least common multiple of 976, 984 which is 120048

So, the LCM of 976, 984 is 120048.

One method for determining the LCM of 976 and 984 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 984's prime factorization:

Prime factors of 984 are 2, 3,41.

984 = 2³×3¹×41¹

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, 3,41

2⁴×3¹×41¹×61¹ = 120048

This shows that the LCM of 976 and 984 is 120048.

The first step in determining the Least Common Multiple of 976 and 984 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 976 and 984:

Lets look at the first ten multiples of these numbers, 976 and 984:

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

984,1968,2952,3936,4920,5904,6888,7872,8856,16728 are the first ten multiples of 984.

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 984, for example, are 11712, 16592, and 15744. 120048 is the least common multiple since it is the smallest.

976 and 984 have an LCM of 120048.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 976 and 984, than apply into the LCM equation.

GCF(976,984) = 8
LCM(976,984) = ( 976 × 984) / 8
LCM(976,984) = 960384 / 8
LCM(976,984) = 120048

1. What is the LCM of 976 and 984?

The LCM of 976 and 984 is 120048.

2. How to find the lowest common multiple of 976 and 984?

To find the lowest common multiple of 976 and 984, we have to get the multip;es of both numbers and identify the least common multiple in them which is 120048.

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 984?

Answer: Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984. There are 16 integers that are factors of 984. The greatest factor of 984 is 984.

Answer:

Least Common Multiple of 976 and 984 = 120048

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 984

984 = 2 x 2 x 2 x 3 x 41

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

LCM = 120048 = 2 x 2 x 2 x 2 x 3 x 41 x 61

Step 4: Therefore, the least common multiple of 976 and 984 is 120048.