Given Numbers are 249, 254

We can find the LCM of 249, 254 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 249 and 254

Multiples of 249 =249,498,747,996,1245,1494,1743,1992,2241,2490,2739,2988,3237,3486,3735,3984,4233,

Multiples of 254 =254,508,762,1016,1270,1524,1778,2032,2286,2540,2794,3048,3302,3556,3810,4064,4318,

Now, get the least common multiple of 249, 254 which is 63246

So, the LCM of 249, 254 is 63246.

One method for determining the LCM of 249 and 254 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 249's prime factorization:

Prime factors of 249 are 3,83.

249 = 3¹×83¹

And this is 254's prime factorization:

Prime factors of 254 are 2,127.

254 = 2¹×127¹

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: 3,83, 2,127

2¹×3¹×83¹×127¹ = 63246

This shows that the LCM of 249 and 254 is 63246.

The first step in determining the Least Common Multiple of 249 and 254 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 249 and 254:

Lets look at the first ten multiples of these numbers, 249 and 254:

249,498,747,996,1245,1494,1743,1992,2241,4233 are the first ten multiples of 249.

254,508,762,1016,1270,1524,1778,2032,2286,4318 are the first ten multiples of 254.

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 249 and 254, for example, are 2988, 4233, and 4064. 63246 is the least common multiple since it is the smallest.

249 and 254 have an LCM of 63246.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 249 and 254, than apply into the LCM equation.

GCF(249,254) = 1
LCM(249,254) = ( 249 × 254) / 1
LCM(249,254) = 63246 / 1
LCM(249,254) = 63246

1. What is the LCM of 249 and 254?

The LCM of 249 and 254 is 63246.

2. How to find the lowest common multiple of 249 and 254?

To find the lowest common multiple of 249 and 254, we have to get the multip;es of both numbers and identify the least common multiple in them which is 63246.

3. What are the Factors of 249?

Answer: Factors of 249 are 1, 3, 83, 249. There are 4 integers that are factors of 249. The greatest factor of 249 is 249.

4. What are the Factors of 254?

Answer: Factors of 254 are 1, 2, 127, 254. There are 4 integers that are factors of 254. The greatest factor of 254 is 254.

Answer:

Least Common Multiple of 249 and 254 = 63246

Step 1: Find the prime factorization of 249

249 = 3 x 83

Step 2: Find the prime factorization of 254

254 = 2 x 127

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

LCM = 63246 = 2 x 3 x 83 x 127

Step 4: Therefore, the least common multiple of 249 and 254 is 63246.