Given Numbers are 260, 267

We can find the LCM of 260, 267 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 260 and 267

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

Multiples of 267 =267,534,801,1068,1335,1602,1869,2136,2403,2670,2937,3204,3471,3738,4005,4272,4539,

Now, get the least common multiple of 260, 267 which is 69420

So, the LCM of 260, 267 is 69420.

One method for determining the LCM of 260 and 267 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 267's prime factorization:

Prime factors of 267 are 3,89.

267 = 3¹×89¹

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, 3,89

2²×3¹×5¹×13¹×89¹ = 69420

This shows that the LCM of 260 and 267 is 69420.

The first step in determining the Least Common Multiple of 260 and 267 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 260 and 267:

Lets look at the first ten multiples of these numbers, 260 and 267:

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

267,534,801,1068,1335,1602,1869,2136,2403,4539 are the first ten multiples of 267.

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 267, for example, are 3120, 4420, and 4272. 69420 is the least common multiple since it is the smallest.

260 and 267 have an LCM of 69420.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 260 and 267, than apply into the LCM equation.

GCF(260,267) = 1
LCM(260,267) = ( 260 × 267) / 1
LCM(260,267) = 69420 / 1
LCM(260,267) = 69420

1. What is the LCM of 260 and 267?

The LCM of 260 and 267 is 69420.

2. How to find the lowest common multiple of 260 and 267?

To find the lowest common multiple of 260 and 267, we have to get the multip;es of both numbers and identify the least common multiple in them which is 69420.

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 267?

Answer: Factors of 267 are 1, 3, 89, 267. There are 4 integers that are factors of 267. The greatest factor of 267 is 267.

Answer:

Least Common Multiple of 260 and 267 = 69420

Step 1: Find the prime factorization of 260

260 = 2 x 2 x 5 x 13

Step 2: Find the prime factorization of 267

267 = 3 x 89

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

LCM = 69420 = 2 x 2 x 3 x 5 x 13 x 89

Step 4: Therefore, the least common multiple of 260 and 267 is 69420.