Given Numbers are 988, 996

We can find the LCM of 988, 996 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 988 and 996

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

Multiples of 996 =996,1992,2988,3984,4980,5976,6972,7968,8964,9960,10956,11952,12948,13944,14940,15936,16932,

Now, get the least common multiple of 988, 996 which is 246012

So, the LCM of 988, 996 is 246012.

One method for determining the LCM of 988 and 996 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 988's prime factorization:

Prime factors of 988 are 2, 13,19.

988 = 2²×13¹×19¹

And this is 996's prime factorization:

Prime factors of 996 are 2, 3,83.

996 = 2²×3¹×83¹

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, 13,19, 3,83

2²×3¹×13¹×19¹×83¹ = 246012

This shows that the LCM of 988 and 996 is 246012.

The first step in determining the Least Common Multiple of 988 and 996 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 988 and 996:

Lets look at the first ten multiples of these numbers, 988 and 996:

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

996,1992,2988,3984,4980,5976,6972,7968,8964,16932 are the first ten multiples of 996.

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 988 and 996, for example, are 11856, 16796, and 15936. 246012 is the least common multiple since it is the smallest.

988 and 996 have an LCM of 246012.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 988 and 996, than apply into the LCM equation.

GCF(988,996) = 4
LCM(988,996) = ( 988 × 996) / 4
LCM(988,996) = 984048 / 4
LCM(988,996) = 246012

1. What is the LCM of 988 and 996?

The LCM of 988 and 996 is 246012.

2. How to find the lowest common multiple of 988 and 996?

To find the lowest common multiple of 988 and 996, we have to get the multip;es of both numbers and identify the least common multiple in them which is 246012.

3. 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.

4. What are the Factors of 996?

Answer: Factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996. There are 12 integers that are factors of 996. The greatest factor of 996 is 996.

Answer:

Least Common Multiple of 988 and 996 = 246012

Step 1: Find the prime factorization of 988

988 = 2 x 2 x 13 x 19

Step 2: Find the prime factorization of 996

996 = 2 x 2 x 3 x 83

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

LCM = 246012 = 2 x 2 x 3 x 13 x 19 x 83

Step 4: Therefore, the least common multiple of 988 and 996 is 246012.