Given Numbers are 982, 990

We can find the LCM of 982, 990 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 982 and 990

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

Multiples of 990 =990,1980,2970,3960,4950,5940,6930,7920,8910,9900,10890,11880,12870,13860,14850,15840,16830,

Now, get the least common multiple of 982, 990 which is 486090

So, the LCM of 982, 990 is 486090.

One method for determining the LCM of 982 and 990 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 990's prime factorization:

Prime factors of 990 are 2, 3, 5,11.

990 = 2¹×3²×5¹×11¹

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, 3, 5,11

2¹×3²×5¹×11¹×491¹ = 486090

This shows that the LCM of 982 and 990 is 486090.

The first step in determining the Least Common Multiple of 982 and 990 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 982 and 990:

Lets look at the first ten multiples of these numbers, 982 and 990:

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

990,1980,2970,3960,4950,5940,6930,7920,8910,16830 are the first ten multiples of 990.

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 990, for example, are 11784, 16694, and 15840. 486090 is the least common multiple since it is the smallest.

982 and 990 have an LCM of 486090.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 982 and 990, than apply into the LCM equation.

GCF(982,990) = 2
LCM(982,990) = ( 982 × 990) / 2
LCM(982,990) = 972180 / 2
LCM(982,990) = 486090

1. What is the LCM of 982 and 990?

The LCM of 982 and 990 is 486090.

2. How to find the lowest common multiple of 982 and 990?

To find the lowest common multiple of 982 and 990, we have to get the multip;es of both numbers and identify the least common multiple in them which is 486090.

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 990?

Answer: Factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990. There are 24 integers that are factors of 990. The greatest factor of 990 is 990.

Answer:

Least Common Multiple of 982 and 990 = 486090

Step 1: Find the prime factorization of 982

982 = 2 x 491

Step 2: Find the prime factorization of 990

990 = 2 x 3 x 3 x 5 x 11

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

LCM = 486090 = 2 x 3 x 3 x 5 x 11 x 491

Step 4: Therefore, the least common multiple of 982 and 990 is 486090.