Given Numbers are 268, 276

We can find the LCM of 268, 276 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 268 and 276

Multiples of 268 =268,536,804,1072,1340,1608,1876,2144,2412,2680,2948,3216,3484,3752,4020,4288,4556,

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 268, 276 which is 18492

So, the LCM of 268, 276 is 18492.

One method for determining the LCM of 268 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 268's prime factorization:

Prime factors of 268 are 2,67.

268 = 2²×67¹

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: 2,67, 3,23

2²×3¹×23¹×67¹ = 18492

This shows that the LCM of 268 and 276 is 18492.

The first step in determining the Least Common Multiple of 268 and 276 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 268 and 276:

Lets look at the first ten multiples of these numbers, 268 and 276:

268,536,804,1072,1340,1608,1876,2144,2412,4556 are the first ten multiples of 268.

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 268 and 276, for example, are 3216, 4556, and 4416. 18492 is the least common multiple since it is the smallest.

268 and 276 have an LCM of 18492.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 268 and 276, than apply into the LCM equation.

GCF(268,276) = 4
LCM(268,276) = ( 268 × 276) / 4
LCM(268,276) = 73968 / 4
LCM(268,276) = 18492

1. What is the LCM of 268 and 276?

The LCM of 268 and 276 is 18492.

2. How to find the lowest common multiple of 268 and 276?

To find the lowest common multiple of 268 and 276, we have to get the multip;es of both numbers and identify the least common multiple in them which is 18492.

3. What are the Factors of 268?

Answer: Factors of 268 are 1, 2, 4, 67, 134, 268. There are 6 integers that are factors of 268. The greatest factor of 268 is 268.

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 268 and 276 = 18492

Step 1: Find the prime factorization of 268

268 = 2 x 2 x 67

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 = 18492 = 2 x 2 x 3 x 23 x 67

Step 4: Therefore, the least common multiple of 268 and 276 is 18492.