Given Numbers are 238, 245

We can find the LCM of 238, 245 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 238 and 245

Multiples of 238 =238,476,714,952,1190,1428,1666,1904,2142,2380,2618,2856,3094,3332,3570,3808,4046,

Multiples of 245 =245,490,735,980,1225,1470,1715,1960,2205,2450,2695,2940,3185,3430,3675,3920,4165,

Now, get the least common multiple of 238, 245 which is 8330

So, the LCM of 238, 245 is 8330.

One method for determining the LCM of 238 and 245 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 238's prime factorization:

Prime factors of 238 are 2, 7,17.

238 = 2¹×7¹×17¹

And this is 245's prime factorization:

Prime factors of 245 are 5,7.

245 = 5¹×7²

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, 7,17,5

2¹×5¹×7²×17¹ = 8330

This shows that the LCM of 238 and 245 is 8330.

The first step in determining the Least Common Multiple of 238 and 245 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 238 and 245:

Lets look at the first ten multiples of these numbers, 238 and 245:

238,476,714,952,1190,1428,1666,1904,2142,4046 are the first ten multiples of 238.

245,490,735,980,1225,1470,1715,1960,2205,4165 are the first ten multiples of 245.

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 238 and 245, for example, are 2856, 4046, and 3920. 8330 is the least common multiple since it is the smallest.

238 and 245 have an LCM of 8330.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 238 and 245, than apply into the LCM equation.

GCF(238,245) = 7
LCM(238,245) = ( 238 × 245) / 7
LCM(238,245) = 58310 / 7
LCM(238,245) = 8330

1. What is the LCM of 238 and 245?

The LCM of 238 and 245 is 8330.

2. How to find the lowest common multiple of 238 and 245?

To find the lowest common multiple of 238 and 245, we have to get the multip;es of both numbers and identify the least common multiple in them which is 8330.

3. What are the Factors of 238?

Answer: Factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238. There are 8 integers that are factors of 238. The greatest factor of 238 is 238.

4. What are the Factors of 245?

Answer: Factors of 245 are 1, 5, 7, 35, 49, 245. There are 6 integers that are factors of 245. The greatest factor of 245 is 245.

Answer:

Least Common Multiple of 238 and 245 = 8330

Step 1: Find the prime factorization of 238

238 = 2 x 7 x 17

Step 2: Find the prime factorization of 245

245 = 5 x 7 x 7

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

LCM = 8330 = 2 x 5 x 7 x 7 x 17

Step 4: Therefore, the least common multiple of 238 and 245 is 8330.