Given Numbers are 984, 988

We can find the LCM of 984, 988 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 984 and 988

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

Multiples of 988 =988,1976,2964,3952,4940,5928,6916,7904,8892,9880,10868,11856,12844,13832,14820,15808,16796,

Now, get the least common multiple of 984, 988 which is 243048

So, the LCM of 984, 988 is 243048.

One method for determining the LCM of 984 and 988 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 988's prime factorization:

Prime factors of 988 are 2, 13,19.

988 = 2²×13¹×19¹

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, 13,19

2³×3¹×13¹×19¹×41¹ = 243048

This shows that the LCM of 984 and 988 is 243048.

The first step in determining the Least Common Multiple of 984 and 988 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 984 and 988:

Lets look at the first ten multiples of these numbers, 984 and 988:

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

988,1976,2964,3952,4940,5928,6916,7904,8892,16796 are the first ten multiples of 988.

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 988, for example, are 11808, 16728, and 15808. 243048 is the least common multiple since it is the smallest.

984 and 988 have an LCM of 243048.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 984 and 988, than apply into the LCM equation.

GCF(984,988) = 4
LCM(984,988) = ( 984 × 988) / 4
LCM(984,988) = 972192 / 4
LCM(984,988) = 243048

1. What is the LCM of 984 and 988?

The LCM of 984 and 988 is 243048.

2. How to find the lowest common multiple of 984 and 988?

To find the lowest common multiple of 984 and 988, we have to get the multip;es of both numbers and identify the least common multiple in them which is 243048.

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 988?

Answer: Factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988. There are 12 integers that are factors of 988. The greatest factor of 988 is 988.

Answer:

Least Common Multiple of 984 and 988 = 243048

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 988

988 = 2 x 2 x 13 x 19

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

LCM = 243048 = 2 x 2 x 2 x 3 x 13 x 19 x 41

Step 4: Therefore, the least common multiple of 984 and 988 is 243048.