It is easy to find the LCM of 238 and 244 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 29036 as output. Here you can check the answer for Find the LCM of 238 and 244.
Given Numbers are 238, 244
We can find the LCM of 238, 244 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 238 and 244
Multiples of 238 =238,476,714,952,1190,1428,1666,1904,2142,2380,2618,2856,3094,3332,3570,3808,4046,
Multiples of 244 =244,488,732,976,1220,1464,1708,1952,2196,2440,2684,2928,3172,3416,3660,3904,4148,
Now, get the least common multiple of 238, 244 which is 29036
So, the LCM of 238, 244 is 29036.
One method for determining the LCM of 238 and 244 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:2 | 238 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 238 are 2, 7,17.
238 = 21×71×171
And this is 244's prime factorization:
2 | 244 |
2 | 122 |
61 | 61 |
1 |
Prime factors of 244 are 2,61.
244 = 22×611
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, 7,17,61
.22×71×171×611 = 29036
This shows that the LCM of 238 and 244 is 29036.
The first step in determining the Least Common Multiple of 238 and 244 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 238 and 244:
Lets look at the first ten multiples of these numbers, 238 and 244:
238,476,714,952,1190,1428,1666,1904,2142,4046 are the first ten multiples of 238.
244,488,732,976,1220,1464,1708,1952,2196,4148 are the first ten multiples of 244.
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 244, for example, are 2856, 4046, and 3904. 29036 is the least common multiple since it is the smallest.
238 and 244 have an LCM of 29036.
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 238 and 244, than apply into the LCM equation.
GCF(238,244) = 2
LCM(238,244) = ( 238 × 244) / 2
LCM(238,244) = 58072 / 2
LCM(238,244) = 29036
1. What is the LCM of 238 and 244?
The LCM of 238 and 244 is 29036.
2. How to find the lowest common multiple of 238 and 244?
To find the lowest common multiple of 238 and 244, we have to get the multip;es of both numbers and identify the least common multiple in them which is 29036.
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 244?
Answer: Factors of 244 are 1, 2, 4, 61, 122, 244. There are 6 integers that are factors of 244. The greatest factor of 244 is 244.
5. How to Find the LCM of 238 and 244?Answer:
Least Common Multiple of 238 and 244 = 29036
Step 1: Find the prime factorization of 238
238 = 2 x 7 x 17
Step 2: Find the prime factorization of 244
244 = 2 x 2 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29036 = 2 x 2 x 7 x 17 x 61
Step 4: Therefore, the least common multiple of 238 and 244 is 29036.