Given Numbers are 254, 260

We can find the LCM of 254, 260 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 254 and 260

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

Multiples of 260 =260,520,780,1040,1300,1560,1820,2080,2340,2600,2860,3120,3380,3640,3900,4160,4420,

Now, get the least common multiple of 254, 260 which is 33020

So, the LCM of 254, 260 is 33020.

One method for determining the LCM of 254 and 260 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 254's prime factorization:

Prime factors of 254 are 2,127.

254 = 2¹×127¹

And this is 260's prime factorization:

Prime factors of 260 are 2, 5,13.

260 = 2²×5¹×13¹

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: 2,127, 5,13

2²×5¹×13¹×127¹ = 33020

This shows that the LCM of 254 and 260 is 33020.

The first step in determining the Least Common Multiple of 254 and 260 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 254 and 260:

Lets look at the first ten multiples of these numbers, 254 and 260:

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

260,520,780,1040,1300,1560,1820,2080,2340,4420 are the first ten multiples of 260.

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 254 and 260, for example, are 3048, 4318, and 4160. 33020 is the least common multiple since it is the smallest.

254 and 260 have an LCM of 33020.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 254 and 260, than apply into the LCM equation.

GCF(254,260) = 2
LCM(254,260) = ( 254 × 260) / 2
LCM(254,260) = 66040 / 2
LCM(254,260) = 33020

1. What is the LCM of 254 and 260?

The LCM of 254 and 260 is 33020.

2. How to find the lowest common multiple of 254 and 260?

To find the lowest common multiple of 254 and 260, we have to get the multip;es of both numbers and identify the least common multiple in them which is 33020.

3. 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.

4. What are the Factors of 260?

Answer: Factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260. There are 12 integers that are factors of 260. The greatest factor of 260 is 260.

Answer:

Least Common Multiple of 254 and 260 = 33020

Step 1: Find the prime factorization of 254

254 = 2 x 127

Step 2: Find the prime factorization of 260

260 = 2 x 2 x 5 x 13

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

LCM = 33020 = 2 x 2 x 5 x 13 x 127

Step 4: Therefore, the least common multiple of 254 and 260 is 33020.