Given Numbers are 267, 272

We can find the LCM of 267, 272 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 267 and 272

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

Multiples of 272 =272,544,816,1088,1360,1632,1904,2176,2448,2720,2992,3264,3536,3808,4080,4352,4624,

Now, get the least common multiple of 267, 272 which is 72624

So, the LCM of 267, 272 is 72624.

One method for determining the LCM of 267 and 272 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 267's prime factorization:

Prime factors of 267 are 3,89.

267 = 3¹×89¹

And this is 272's prime factorization:

Prime factors of 272 are 2,17.

272 = 2⁴×17¹

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: 3,89, 2,17

2⁴×3¹×17¹×89¹ = 72624

This shows that the LCM of 267 and 272 is 72624.

The first step in determining the Least Common Multiple of 267 and 272 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 267 and 272:

Lets look at the first ten multiples of these numbers, 267 and 272:

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

272,544,816,1088,1360,1632,1904,2176,2448,4624 are the first ten multiples of 272.

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 267 and 272, for example, are 3204, 4539, and 4352. 72624 is the least common multiple since it is the smallest.

267 and 272 have an LCM of 72624.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 267 and 272, than apply into the LCM equation.

GCF(267,272) = 1
LCM(267,272) = ( 267 × 272) / 1
LCM(267,272) = 72624 / 1
LCM(267,272) = 72624

1. What is the LCM of 267 and 272?

The LCM of 267 and 272 is 72624.

2. How to find the lowest common multiple of 267 and 272?

To find the lowest common multiple of 267 and 272, we have to get the multip;es of both numbers and identify the least common multiple in them which is 72624.

3. 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.

4. What are the Factors of 272?

Answer: Factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272. There are 10 integers that are factors of 272. The greatest factor of 272 is 272.

Answer:

Least Common Multiple of 267 and 272 = 72624

Step 1: Find the prime factorization of 267

267 = 3 x 89

Step 2: Find the prime factorization of 272

272 = 2 x 2 x 2 x 2 x 17

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

LCM = 72624 = 2 x 2 x 2 x 2 x 3 x 17 x 89

Step 4: Therefore, the least common multiple of 267 and 272 is 72624.