Given Numbers are 260, 266

We can find the LCM of 260, 266 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 260 and 266

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

Multiples of 266 =266,532,798,1064,1330,1596,1862,2128,2394,2660,2926,3192,3458,3724,3990,4256,4522,

Now, get the least common multiple of 260, 266 which is 34580

So, the LCM of 260, 266 is 34580.

One method for determining the LCM of 260 and 266 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 266's prime factorization:

Prime factors of 266 are 2, 7,19.

266 = 2¹×7¹×19¹

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, 7,19

2²×5¹×7¹×13¹×19¹ = 34580

This shows that the LCM of 260 and 266 is 34580.

The first step in determining the Least Common Multiple of 260 and 266 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 260 and 266:

Lets look at the first ten multiples of these numbers, 260 and 266:

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

266,532,798,1064,1330,1596,1862,2128,2394,4522 are the first ten multiples of 266.

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 266, for example, are 3120, 4420, and 4256. 34580 is the least common multiple since it is the smallest.

260 and 266 have an LCM of 34580.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 260 and 266, than apply into the LCM equation.

GCF(260,266) = 2
LCM(260,266) = ( 260 × 266) / 2
LCM(260,266) = 69160 / 2
LCM(260,266) = 34580

1. What is the LCM of 260 and 266?

The LCM of 260 and 266 is 34580.

2. How to find the lowest common multiple of 260 and 266?

To find the lowest common multiple of 260 and 266, we have to get the multip;es of both numbers and identify the least common multiple in them which is 34580.

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 266?

Answer: Factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266. There are 8 integers that are factors of 266. The greatest factor of 266 is 266.

Answer:

Least Common Multiple of 260 and 266 = 34580

Step 1: Find the prime factorization of 260

260 = 2 x 2 x 5 x 13

Step 2: Find the prime factorization of 266

266 = 2 x 7 x 19

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

LCM = 34580 = 2 x 2 x 5 x 7 x 13 x 19

Step 4: Therefore, the least common multiple of 260 and 266 is 34580.