Given Numbers are 234, 242

We can find the LCM of 234, 242 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 234 and 242

Multiples of 234 =234,468,702,936,1170,1404,1638,1872,2106,2340,2574,2808,3042,3276,3510,3744,3978,

Multiples of 242 =242,484,726,968,1210,1452,1694,1936,2178,2420,2662,2904,3146,3388,3630,3872,4114,

Now, get the least common multiple of 234, 242 which is 28314

So, the LCM of 234, 242 is 28314.

One method for determining the LCM of 234 and 242 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 234's prime factorization:

Prime factors of 234 are 2, 3,13.

234 = 2¹×3²×13¹

And this is 242's prime factorization:

Prime factors of 242 are 2,11.

242 = 2¹×11²

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, 3,13,11

2¹×3²×11²×13¹ = 28314

This shows that the LCM of 234 and 242 is 28314.

The first step in determining the Least Common Multiple of 234 and 242 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 234 and 242:

Lets look at the first ten multiples of these numbers, 234 and 242:

234,468,702,936,1170,1404,1638,1872,2106,3978 are the first ten multiples of 234.

242,484,726,968,1210,1452,1694,1936,2178,4114 are the first ten multiples of 242.

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 234 and 242, for example, are 2808, 3978, and 3872. 28314 is the least common multiple since it is the smallest.

234 and 242 have an LCM of 28314.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 234 and 242, than apply into the LCM equation.

GCF(234,242) = 2
LCM(234,242) = ( 234 × 242) / 2
LCM(234,242) = 56628 / 2
LCM(234,242) = 28314

1. What is the LCM of 234 and 242?

The LCM of 234 and 242 is 28314.

2. How to find the lowest common multiple of 234 and 242?

To find the lowest common multiple of 234 and 242, we have to get the multip;es of both numbers and identify the least common multiple in them which is 28314.

3. What are the Factors of 234?

Answer: Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234. There are 12 integers that are factors of 234. The greatest factor of 234 is 234.

4. What are the Factors of 242?

Answer: Factors of 242 are 1, 2, 11, 22, 121, 242. There are 6 integers that are factors of 242. The greatest factor of 242 is 242.

Answer:

Least Common Multiple of 234 and 242 = 28314

Step 1: Find the prime factorization of 234

234 = 2 x 3 x 3 x 13

Step 2: Find the prime factorization of 242

242 = 2 x 11 x 11

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

LCM = 28314 = 2 x 3 x 3 x 11 x 11 x 13

Step 4: Therefore, the least common multiple of 234 and 242 is 28314.