Given Numbers are 241, 249

We can find the LCM of 241, 249 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 241 and 249

Multiples of 241 =241,482,723,964,1205,1446,1687,1928,2169,2410,2651,2892,3133,3374,3615,3856,4097,

Multiples of 249 =249,498,747,996,1245,1494,1743,1992,2241,2490,2739,2988,3237,3486,3735,3984,4233,

Now, get the least common multiple of 241, 249 which is 60009

So, the LCM of 241, 249 is 60009.

One method for determining the LCM of 241 and 249 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 241's prime factorization:

Prime factors of 241 are 241.

241 = 241¹

And this is 249's prime factorization:

Prime factors of 249 are 3,83.

249 = 3¹×83¹

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:241, 3,83

3¹×83¹×241¹ = 60009

This shows that the LCM of 241 and 249 is 60009.

The first step in determining the Least Common Multiple of 241 and 249 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 241 and 249:

Lets look at the first ten multiples of these numbers, 241 and 249:

241,482,723,964,1205,1446,1687,1928,2169,4097 are the first ten multiples of 241.

249,498,747,996,1245,1494,1743,1992,2241,4233 are the first ten multiples of 249.

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 241 and 249, for example, are 2892, 4097, and 3984. 60009 is the least common multiple since it is the smallest.

241 and 249 have an LCM of 60009.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 241 and 249, than apply into the LCM equation.

GCF(241,249) = 1
LCM(241,249) = ( 241 × 249) / 1
LCM(241,249) = 60009 / 1
LCM(241,249) = 60009

1. What is the LCM of 241 and 249?

The LCM of 241 and 249 is 60009.

2. How to find the lowest common multiple of 241 and 249?

To find the lowest common multiple of 241 and 249, we have to get the multip;es of both numbers and identify the least common multiple in them which is 60009.

3. What are the Factors of 241?

Answer: Factors of 241 are 1, 241. There are 2 integers that are factors of 241. The greatest factor of 241 is 241.

4. What are the Factors of 249?

Answer: Factors of 249 are 1, 3, 83, 249. There are 4 integers that are factors of 249. The greatest factor of 249 is 249.

Answer:

Least Common Multiple of 241 and 249 = 60009

Step 1: Find the prime factorization of 241

241 = 241

Step 2: Find the prime factorization of 249

249 = 3 x 83

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

LCM = 60009 = 3 x 83 x 241

Step 4: Therefore, the least common multiple of 241 and 249 is 60009.