Given Numbers are 984, 992

We can find the LCM of 984, 992 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 984 and 992

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

Multiples of 992 =992,1984,2976,3968,4960,5952,6944,7936,8928,9920,10912,11904,12896,13888,14880,15872,16864,

Now, get the least common multiple of 984, 992 which is 122016

So, the LCM of 984, 992 is 122016.

One method for determining the LCM of 984 and 992 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 984's prime factorization:

Prime factors of 984 are 2, 3,41.

984 = 2³×3¹×41¹

And this is 992's prime factorization:

Prime factors of 992 are 2,31.

992 = 2⁵×31¹

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, 3,41,31

2⁵×3¹×31¹×41¹ = 122016

This shows that the LCM of 984 and 992 is 122016.

The first step in determining the Least Common Multiple of 984 and 992 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 984 and 992:

Lets look at the first ten multiples of these numbers, 984 and 992:

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

992,1984,2976,3968,4960,5952,6944,7936,8928,16864 are the first ten multiples of 992.

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 984 and 992, for example, are 11808, 16728, and 15872. 122016 is the least common multiple since it is the smallest.

984 and 992 have an LCM of 122016.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 984 and 992, than apply into the LCM equation.

GCF(984,992) = 8
LCM(984,992) = ( 984 × 992) / 8
LCM(984,992) = 976128 / 8
LCM(984,992) = 122016

1. What is the LCM of 984 and 992?

The LCM of 984 and 992 is 122016.

2. How to find the lowest common multiple of 984 and 992?

To find the lowest common multiple of 984 and 992, we have to get the multip;es of both numbers and identify the least common multiple in them which is 122016.

3. 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.

4. What are the Factors of 992?

Answer: Factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992. There are 12 integers that are factors of 992. The greatest factor of 992 is 992.

Answer:

Least Common Multiple of 984 and 992 = 122016

Step 1: Find the prime factorization of 984

984 = 2 x 2 x 2 x 3 x 41

Step 2: Find the prime factorization of 992

992 = 2 x 2 x 2 x 2 x 2 x 31

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

LCM = 122016 = 2 x 2 x 2 x 2 x 2 x 3 x 31 x 41

Step 4: Therefore, the least common multiple of 984 and 992 is 122016.