Given Numbers are 318, 322

We can find the LCM of 318, 322 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 318 and 322

Multiples of 318 =318,636,954,1272,1590,1908,2226,2544,2862,3180,3498,3816,4134,4452,4770,5088,5406,

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

Now, get the least common multiple of 318, 322 which is 51198

So, the LCM of 318, 322 is 51198.

One method for determining the LCM of 318 and 322 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 318's prime factorization:

Prime factors of 318 are 2, 3,53.

318 = 2¹×3¹×53¹

And this is 322's prime factorization:

Prime factors of 322 are 2, 7,23.

322 = 2¹×7¹×23¹

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, 3,53, 7,23

2¹×3¹×7¹×23¹×53¹ = 51198

This shows that the LCM of 318 and 322 is 51198.

The first step in determining the Least Common Multiple of 318 and 322 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 318 and 322:

Lets look at the first ten multiples of these numbers, 318 and 322:

318,636,954,1272,1590,1908,2226,2544,2862,5406 are the first ten multiples of 318.

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

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 318 and 322, for example, are 3816, 5406, and 5152. 51198 is the least common multiple since it is the smallest.

318 and 322 have an LCM of 51198.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 318 and 322, than apply into the LCM equation.

GCF(318,322) = 2
LCM(318,322) = ( 318 × 322) / 2
LCM(318,322) = 102396 / 2
LCM(318,322) = 51198

1. What is the LCM of 318 and 322?

The LCM of 318 and 322 is 51198.

2. How to find the lowest common multiple of 318 and 322?

To find the lowest common multiple of 318 and 322, we have to get the multip;es of both numbers and identify the least common multiple in them which is 51198.

3. What are the Factors of 318?

Answer: Factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318. There are 8 integers that are factors of 318. The greatest factor of 318 is 318.

4. 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.

Answer:

Least Common Multiple of 318 and 322 = 51198

Step 1: Find the prime factorization of 318

318 = 2 x 3 x 53

Step 2: Find the prime factorization of 322

322 = 2 x 7 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 = 51198 = 2 x 3 x 7 x 23 x 53

Step 4: Therefore, the least common multiple of 318 and 322 is 51198.