Given Numbers are 982, 988

We can find the LCM of 982, 988 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 982 and 988

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

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 982, 988 which is 485108

So, the LCM of 982, 988 is 485108.

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

Prime factors of 982 are 2,491.

982 = 2¹×491¹

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: 2,491, 13,19

2²×13¹×19¹×491¹ = 485108

This shows that the LCM of 982 and 988 is 485108.

The first step in determining the Least Common Multiple of 982 and 988 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 982 and 988:

Lets look at the first ten multiples of these numbers, 982 and 988:

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

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 982 and 988, for example, are 11784, 16694, and 15808. 485108 is the least common multiple since it is the smallest.

982 and 988 have an LCM of 485108.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 982 and 988, than apply into the LCM equation.

GCF(982,988) = 2
LCM(982,988) = ( 982 × 988) / 2
LCM(982,988) = 970216 / 2
LCM(982,988) = 485108

1. What is the LCM of 982 and 988?

The LCM of 982 and 988 is 485108.

2. How to find the lowest common multiple of 982 and 988?

To find the lowest common multiple of 982 and 988, we have to get the multip;es of both numbers and identify the least common multiple in them which is 485108.

3. 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.

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 982 and 988 = 485108

Step 1: Find the prime factorization of 982

982 = 2 x 491

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 = 485108 = 2 x 2 x 13 x 19 x 491

Step 4: Therefore, the least common multiple of 982 and 988 is 485108.