Given Numbers are 994, 998

We can find the LCM of 994, 998 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 994 and 998

Multiples of 994 =994,1988,2982,3976,4970,5964,6958,7952,8946,9940,10934,11928,12922,13916,14910,15904,16898,

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

Now, get the least common multiple of 994, 998 which is 496006

So, the LCM of 994, 998 is 496006.

One method for determining the LCM of 994 and 998 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 994's prime factorization:

Prime factors of 994 are 2, 7,71.

994 = 2¹×7¹×71¹

And this is 998's prime factorization:

Prime factors of 998 are 2,499.

998 = 2¹×499¹

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, 7,71,499

2¹×7¹×71¹×499¹ = 496006

This shows that the LCM of 994 and 998 is 496006.

The first step in determining the Least Common Multiple of 994 and 998 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 994 and 998:

Lets look at the first ten multiples of these numbers, 994 and 998:

994,1988,2982,3976,4970,5964,6958,7952,8946,16898 are the first ten multiples of 994.

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

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 994 and 998, for example, are 11928, 16898, and 15968. 496006 is the least common multiple since it is the smallest.

994 and 998 have an LCM of 496006.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 994 and 998, than apply into the LCM equation.

GCF(994,998) = 2
LCM(994,998) = ( 994 × 998) / 2
LCM(994,998) = 992012 / 2
LCM(994,998) = 496006

1. What is the LCM of 994 and 998?

The LCM of 994 and 998 is 496006.

2. How to find the lowest common multiple of 994 and 998?

To find the lowest common multiple of 994 and 998, we have to get the multip;es of both numbers and identify the least common multiple in them which is 496006.

3. What are the Factors of 994?

Answer: Factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994. There are 8 integers that are factors of 994. The greatest factor of 994 is 994.

4. 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.

Answer:

Least Common Multiple of 994 and 998 = 496006

Step 1: Find the prime factorization of 994

994 = 2 x 7 x 71

Step 2: Find the prime factorization of 998

998 = 2 x 499

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

LCM = 496006 = 2 x 7 x 71 x 499

Step 4: Therefore, the least common multiple of 994 and 998 is 496006.