Given Numbers are 241, 247

We can find the LCM of 241, 247 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 241 and 247

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

Multiples of 247 =247,494,741,988,1235,1482,1729,1976,2223,2470,2717,2964,3211,3458,3705,3952,4199,

Now, get the least common multiple of 241, 247 which is 59527

So, the LCM of 241, 247 is 59527.

One method for determining the LCM of 241 and 247 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 247's prime factorization:

Prime factors of 247 are 13,19.

247 = 13¹×19¹

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, 13,19

13¹×19¹×241¹ = 59527

This shows that the LCM of 241 and 247 is 59527.

The first step in determining the Least Common Multiple of 241 and 247 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 241 and 247:

Lets look at the first ten multiples of these numbers, 241 and 247:

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

247,494,741,988,1235,1482,1729,1976,2223,4199 are the first ten multiples of 247.

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 247, for example, are 2892, 4097, and 3952. 59527 is the least common multiple since it is the smallest.

241 and 247 have an LCM of 59527.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 241 and 247, than apply into the LCM equation.

GCF(241,247) = 1
LCM(241,247) = ( 241 × 247) / 1
LCM(241,247) = 59527 / 1
LCM(241,247) = 59527

1. What is the LCM of 241 and 247?

The LCM of 241 and 247 is 59527.

2. How to find the lowest common multiple of 241 and 247?

To find the lowest common multiple of 241 and 247, we have to get the multip;es of both numbers and identify the least common multiple in them which is 59527.

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 247?

Answer: Factors of 247 are 1, 13, 19, 247. There are 4 integers that are factors of 247. The greatest factor of 247 is 247.

Answer:

Least Common Multiple of 241 and 247 = 59527

Step 1: Find the prime factorization of 241

241 = 241

Step 2: Find the prime factorization of 247

247 = 13 x 19

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

LCM = 59527 = 13 x 19 x 241

Step 4: Therefore, the least common multiple of 241 and 247 is 59527.