Given Numbers are 235, 241

We can find the LCM of 235, 241 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 235 and 241

Multiples of 235 =235,470,705,940,1175,1410,1645,1880,2115,2350,2585,2820,3055,3290,3525,3760,3995,

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

Now, get the least common multiple of 235, 241 which is 56635

So, the LCM of 235, 241 is 56635.

One method for determining the LCM of 235 and 241 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 235's prime factorization:

Prime factors of 235 are 5,47.

235 = 5¹×47¹

And this is 241's prime factorization:

Prime factors of 241 are 241.

241 = 241¹

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: 5,47,241

5¹×47¹×241¹ = 56635

This shows that the LCM of 235 and 241 is 56635.

The first step in determining the Least Common Multiple of 235 and 241 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 235 and 241:

Lets look at the first ten multiples of these numbers, 235 and 241:

235,470,705,940,1175,1410,1645,1880,2115,3995 are the first ten multiples of 235.

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

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 235 and 241, for example, are 2820, 3995, and 3856. 56635 is the least common multiple since it is the smallest.

235 and 241 have an LCM of 56635.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 235 and 241, than apply into the LCM equation.

GCF(235,241) = 1
LCM(235,241) = ( 235 × 241) / 1
LCM(235,241) = 56635 / 1
LCM(235,241) = 56635

1. What is the LCM of 235 and 241?

The LCM of 235 and 241 is 56635.

2. How to find the lowest common multiple of 235 and 241?

To find the lowest common multiple of 235 and 241, we have to get the multip;es of both numbers and identify the least common multiple in them which is 56635.

3. What are the Factors of 235?

Answer: Factors of 235 are 1, 5, 47, 235. There are 4 integers that are factors of 235. The greatest factor of 235 is 235.

4. 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.

Answer:

Least Common Multiple of 235 and 241 = 56635

Step 1: Find the prime factorization of 235

235 = 5 x 47

Step 2: Find the prime factorization of 241

241 = 241

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

LCM = 56635 = 5 x 47 x 241

Step 4: Therefore, the least common multiple of 235 and 241 is 56635.