Given Numbers are 260, 265

We can find the LCM of 260, 265 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 260 and 265

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

Multiples of 265 =265,530,795,1060,1325,1590,1855,2120,2385,2650,2915,3180,3445,3710,3975,4240,4505,

Now, get the least common multiple of 260, 265 which is 13780

So, the LCM of 260, 265 is 13780.

One method for determining the LCM of 260 and 265 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 260's prime factorization:

Prime factors of 260 are 2, 5,13.

260 = 2²×5¹×13¹

And this is 265's prime factorization:

Prime factors of 265 are 5,53.

265 = 5¹×53¹

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, 5,13,53

2²×5¹×13¹×53¹ = 13780

This shows that the LCM of 260 and 265 is 13780.

The first step in determining the Least Common Multiple of 260 and 265 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 260 and 265:

Lets look at the first ten multiples of these numbers, 260 and 265:

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

265,530,795,1060,1325,1590,1855,2120,2385,4505 are the first ten multiples of 265.

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 260 and 265, for example, are 3120, 4420, and 4240. 13780 is the least common multiple since it is the smallest.

260 and 265 have an LCM of 13780.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 260 and 265, than apply into the LCM equation.

GCF(260,265) = 5
LCM(260,265) = ( 260 × 265) / 5
LCM(260,265) = 68900 / 5
LCM(260,265) = 13780

1. What is the LCM of 260 and 265?

The LCM of 260 and 265 is 13780.

2. How to find the lowest common multiple of 260 and 265?

To find the lowest common multiple of 260 and 265, we have to get the multip;es of both numbers and identify the least common multiple in them which is 13780.

3. 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.

4. What are the Factors of 265?

Answer: Factors of 265 are 1, 5, 53, 265. There are 4 integers that are factors of 265. The greatest factor of 265 is 265.

Answer:

Least Common Multiple of 260 and 265 = 13780

Step 1: Find the prime factorization of 260

260 = 2 x 2 x 5 x 13

Step 2: Find the prime factorization of 265

265 = 5 x 53

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

LCM = 13780 = 2 x 2 x 5 x 13 x 53

Step 4: Therefore, the least common multiple of 260 and 265 is 13780.