Given Numbers are 978, 982

We can find the LCM of 978, 982 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 978 and 982

Multiples of 978 =978,1956,2934,3912,4890,5868,6846,7824,8802,9780,10758,11736,12714,13692,14670,15648,16626,

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

Now, get the least common multiple of 978, 982 which is 480198

So, the LCM of 978, 982 is 480198.

One method for determining the LCM of 978 and 982 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 978's prime factorization:

Prime factors of 978 are 2, 3,163.

978 = 2¹×3¹×163¹

And this is 982's prime factorization:

Prime factors of 982 are 2,491.

982 = 2¹×491¹

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, 3,163,491

2¹×3¹×163¹×491¹ = 480198

This shows that the LCM of 978 and 982 is 480198.

The first step in determining the Least Common Multiple of 978 and 982 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 978 and 982:

Lets look at the first ten multiples of these numbers, 978 and 982:

978,1956,2934,3912,4890,5868,6846,7824,8802,16626 are the first ten multiples of 978.

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

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 978 and 982, for example, are 11736, 16626, and 15712. 480198 is the least common multiple since it is the smallest.

978 and 982 have an LCM of 480198.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 978 and 982, than apply into the LCM equation.

GCF(978,982) = 2
LCM(978,982) = ( 978 × 982) / 2
LCM(978,982) = 960396 / 2
LCM(978,982) = 480198

1. What is the LCM of 978 and 982?

The LCM of 978 and 982 is 480198.

2. How to find the lowest common multiple of 978 and 982?

To find the lowest common multiple of 978 and 982, we have to get the multip;es of both numbers and identify the least common multiple in them which is 480198.

3. What are the Factors of 978?

Answer: Factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978. There are 8 integers that are factors of 978. The greatest factor of 978 is 978.

4. 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.

Answer:

Least Common Multiple of 978 and 982 = 480198

Step 1: Find the prime factorization of 978

978 = 2 x 3 x 163

Step 2: Find the prime factorization of 982

982 = 2 x 491

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

LCM = 480198 = 2 x 3 x 163 x 491

Step 4: Therefore, the least common multiple of 978 and 982 is 480198.