Given Numbers are 322, 327

We can find the LCM of 322, 327 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 322 and 327

Multiples of 322 =322,644,966,1288,1610,1932,2254,2576,2898,3220,3542,3864,4186,4508,4830,5152,5474,

Multiples of 327 =327,654,981,1308,1635,1962,2289,2616,2943,3270,3597,3924,4251,4578,4905,5232,5559,

Now, get the least common multiple of 322, 327 which is 105294

So, the LCM of 322, 327 is 105294.

One method for determining the LCM of 322 and 327 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 322's prime factorization:

Prime factors of 322 are 2, 7,23.

322 = 2¹×7¹×23¹

And this is 327's prime factorization:

Prime factors of 327 are 3,109.

327 = 3¹×109¹

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, 7,23, 3,109

2¹×3¹×7¹×23¹×109¹ = 105294

This shows that the LCM of 322 and 327 is 105294.

The first step in determining the Least Common Multiple of 322 and 327 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 322 and 327:

Lets look at the first ten multiples of these numbers, 322 and 327:

322,644,966,1288,1610,1932,2254,2576,2898,5474 are the first ten multiples of 322.

327,654,981,1308,1635,1962,2289,2616,2943,5559 are the first ten multiples of 327.

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 322 and 327, for example, are 3864, 5474, and 5232. 105294 is the least common multiple since it is the smallest.

322 and 327 have an LCM of 105294.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 322 and 327, than apply into the LCM equation.

GCF(322,327) = 1
LCM(322,327) = ( 322 × 327) / 1
LCM(322,327) = 105294 / 1
LCM(322,327) = 105294

1. What is the LCM of 322 and 327?

The LCM of 322 and 327 is 105294.

2. How to find the lowest common multiple of 322 and 327?

To find the lowest common multiple of 322 and 327, we have to get the multip;es of both numbers and identify the least common multiple in them which is 105294.

3. What are the Factors of 322?

Answer: Factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322. There are 8 integers that are factors of 322. The greatest factor of 322 is 322.

4. What are the Factors of 327?

Answer: Factors of 327 are 1, 3, 109, 327. There are 4 integers that are factors of 327. The greatest factor of 327 is 327.

Answer:

Least Common Multiple of 322 and 327 = 105294

Step 1: Find the prime factorization of 322

322 = 2 x 7 x 23

Step 2: Find the prime factorization of 327

327 = 3 x 109

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

LCM = 105294 = 2 x 3 x 7 x 23 x 109

Step 4: Therefore, the least common multiple of 322 and 327 is 105294.