Given Numbers are 269, 276

We can find the LCM of 269, 276 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 269 and 276

Multiples of 269 =269,538,807,1076,1345,1614,1883,2152,2421,2690,2959,3228,3497,3766,4035,4304,4573,

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 269, 276 which is 74244

So, the LCM of 269, 276 is 74244.

One method for determining the LCM of 269 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 269's prime factorization:

Prime factors of 269 are 269.

269 = 269¹

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:269, 2, 3,23

2²×3¹×23¹×269¹ = 74244

This shows that the LCM of 269 and 276 is 74244.

The first step in determining the Least Common Multiple of 269 and 276 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 269 and 276:

Lets look at the first ten multiples of these numbers, 269 and 276:

269,538,807,1076,1345,1614,1883,2152,2421,4573 are the first ten multiples of 269.

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 269 and 276, for example, are 3228, 4573, and 4416. 74244 is the least common multiple since it is the smallest.

269 and 276 have an LCM of 74244.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 269 and 276, than apply into the LCM equation.

GCF(269,276) = 1
LCM(269,276) = ( 269 × 276) / 1
LCM(269,276) = 74244 / 1
LCM(269,276) = 74244

1. What is the LCM of 269 and 276?

The LCM of 269 and 276 is 74244.

2. How to find the lowest common multiple of 269 and 276?

To find the lowest common multiple of 269 and 276, we have to get the multip;es of both numbers and identify the least common multiple in them which is 74244.

3. What are the Factors of 269?

Answer: Factors of 269 are 1, 269. There are 2 integers that are factors of 269. The greatest factor of 269 is 269.

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 269 and 276 = 74244

Step 1: Find the prime factorization of 269

269 = 269

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 = 74244 = 2 x 2 x 3 x 23 x 269

Step 4: Therefore, the least common multiple of 269 and 276 is 74244.