Given Numbers are 224, 229

We can find the LCM of 224, 229 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 224 and 229

Multiples of 224 =224,448,672,896,1120,1344,1568,1792,2016,2240,2464,2688,2912,3136,3360,3584,3808,

Multiples of 229 =229,458,687,916,1145,1374,1603,1832,2061,2290,2519,2748,2977,3206,3435,3664,3893,

Now, get the least common multiple of 224, 229 which is 51296

So, the LCM of 224, 229 is 51296.

One method for determining the LCM of 224 and 229 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 224's prime factorization:

Prime factors of 224 are 2,7.

224 = 2⁵×7¹

And this is 229's prime factorization:

Prime factors of 229 are 229.

229 = 229¹

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: 2,7,229

2⁵×7¹×229¹ = 51296

This shows that the LCM of 224 and 229 is 51296.

The first step in determining the Least Common Multiple of 224 and 229 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 224 and 229:

Lets look at the first ten multiples of these numbers, 224 and 229:

224,448,672,896,1120,1344,1568,1792,2016,3808 are the first ten multiples of 224.

229,458,687,916,1145,1374,1603,1832,2061,3893 are the first ten multiples of 229.

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 224 and 229, for example, are 2688, 3808, and 3664. 51296 is the least common multiple since it is the smallest.

224 and 229 have an LCM of 51296.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 224 and 229, than apply into the LCM equation.

GCF(224,229) = 1
LCM(224,229) = ( 224 × 229) / 1
LCM(224,229) = 51296 / 1
LCM(224,229) = 51296

1. What is the LCM of 224 and 229?

The LCM of 224 and 229 is 51296.

2. How to find the lowest common multiple of 224 and 229?

To find the lowest common multiple of 224 and 229, we have to get the multip;es of both numbers and identify the least common multiple in them which is 51296.

3. What are the Factors of 224?

Answer: Factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224. There are 12 integers that are factors of 224. The greatest factor of 224 is 224.

4. What are the Factors of 229?

Answer: Factors of 229 are 1, 229. There are 2 integers that are factors of 229. The greatest factor of 229 is 229.

Answer:

Least Common Multiple of 224 and 229 = 51296

Step 1: Find the prime factorization of 224

224 = 2 x 2 x 2 x 2 x 2 x 7

Step 2: Find the prime factorization of 229

229 = 229

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

LCM = 51296 = 2 x 2 x 2 x 2 x 2 x 7 x 229

Step 4: Therefore, the least common multiple of 224 and 229 is 51296.