Given Numbers are 272, 276

We can find the LCM of 272, 276 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 272 and 276

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

Multiples of 276 =276,552,828,1104,1380,1656,1932,2208,2484,2760,3036,3312,3588,3864,4140,4416,4692,

Now, get the least common multiple of 272, 276 which is 18768

So, the LCM of 272, 276 is 18768.

One method for determining the LCM of 272 and 276 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 272's prime factorization:

Prime factors of 272 are 2,17.

272 = 2⁴×17¹

And this is 276's prime factorization:

Prime factors of 276 are 2, 3,23.

276 = 2²×3¹×23¹

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: 2,17, 3,23

2⁴×3¹×17¹×23¹ = 18768

This shows that the LCM of 272 and 276 is 18768.

The first step in determining the Least Common Multiple of 272 and 276 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 272 and 276:

Lets look at the first ten multiples of these numbers, 272 and 276:

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

276,552,828,1104,1380,1656,1932,2208,2484,4692 are the first ten multiples of 276.

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 272 and 276, for example, are 3264, 4624, and 4416. 18768 is the least common multiple since it is the smallest.

272 and 276 have an LCM of 18768.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 272 and 276, than apply into the LCM equation.

GCF(272,276) = 4
LCM(272,276) = ( 272 × 276) / 4
LCM(272,276) = 75072 / 4
LCM(272,276) = 18768

1. What is the LCM of 272 and 276?

The LCM of 272 and 276 is 18768.

2. How to find the lowest common multiple of 272 and 276?

To find the lowest common multiple of 272 and 276, we have to get the multip;es of both numbers and identify the least common multiple in them which is 18768.

3. 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.

4. What are the Factors of 276?

Answer: Factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276. There are 12 integers that are factors of 276. The greatest factor of 276 is 276.

Answer:

Least Common Multiple of 272 and 276 = 18768

Step 1: Find the prime factorization of 272

272 = 2 x 2 x 2 x 2 x 17

Step 2: Find the prime factorization of 276

276 = 2 x 2 x 3 x 23

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

LCM = 18768 = 2 x 2 x 2 x 2 x 3 x 17 x 23

Step 4: Therefore, the least common multiple of 272 and 276 is 18768.