Given Numbers are 998, 1005

We can find the LCM of 998, 1005 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 998 and 1005

Multiples of 998 =998,1996,2994,3992,4990,5988,6986,7984,8982,9980,10978,11976,12974,13972,14970,15968,16966,

Multiples of 1005 =1005,2010,3015,4020,5025,6030,7035,8040,9045,10050,11055,12060,13065,14070,15075,16080,17085,

Now, get the least common multiple of 998, 1005 which is 1002990

So, the LCM of 998, 1005 is 1002990.

One method for determining the LCM of 998 and 1005 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 998's prime factorization:

Prime factors of 998 are 2,499.

998 = 2¹×499¹

And this is 1005's prime factorization:

Prime factors of 1005 are 3, 5,67.

1005 = 3¹×5¹×67¹

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: 2,499, 3, 5,67

2¹×3¹×5¹×67¹×499¹ = 1002990

This shows that the LCM of 998 and 1005 is 1002990.

The first step in determining the Least Common Multiple of 998 and 1005 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 998 and 1005:

Lets look at the first ten multiples of these numbers, 998 and 1005:

998,1996,2994,3992,4990,5988,6986,7984,8982,16966 are the first ten multiples of 998.

1005,2010,3015,4020,5025,6030,7035,8040,9045,17085 are the first ten multiples of 1005.

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 998 and 1005, for example, are 11976, 16966, and 16080. 1002990 is the least common multiple since it is the smallest.

998 and 1005 have an LCM of 1002990.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 998 and 1005, than apply into the LCM equation.

GCF(998,1005) = 1
LCM(998,1005) = ( 998 × 1005) / 1
LCM(998,1005) = 1002990 / 1
LCM(998,1005) = 1002990

1. What is the LCM of 998 and 1005?

The LCM of 998 and 1005 is 1002990.

2. How to find the lowest common multiple of 998 and 1005?

To find the lowest common multiple of 998 and 1005, we have to get the multip;es of both numbers and identify the least common multiple in them which is 1002990.

3. What are the Factors of 998?

Answer: Factors of 998 are 1, 2, 499, 998. There are 4 integers that are factors of 998. The greatest factor of 998 is 998.

4. What are the Factors of 1005?

Answer: Factors of 1005 are 1, 3, 5, 15, 67, 201, 335, 1005. There are 8 integers that are factors of 1005. The greatest factor of 1005 is 1005.

Answer:

Least Common Multiple of 998 and 1005 = 1002990

Step 1: Find the prime factorization of 998

998 = 2 x 499

Step 2: Find the prime factorization of 1005

1005 = 3 x 5 x 67

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

LCM = 1002990 = 2 x 3 x 5 x 67 x 499

Step 4: Therefore, the least common multiple of 998 and 1005 is 1002990.