Given Numbers are 316, 322

We can find the LCM of 316, 322 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 316 and 322

Multiples of 316 =316,632,948,1264,1580,1896,2212,2528,2844,3160,3476,3792,4108,4424,4740,5056,5372,

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 316, 322 which is 50876

So, the LCM of 316, 322 is 50876.

One method for determining the LCM of 316 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 316's prime factorization:

Prime factors of 316 are 2,79.

316 = 2²×79¹

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: 2,79, 7,23

2²×7¹×23¹×79¹ = 50876

This shows that the LCM of 316 and 322 is 50876.

The first step in determining the Least Common Multiple of 316 and 322 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 316 and 322:

Lets look at the first ten multiples of these numbers, 316 and 322:

316,632,948,1264,1580,1896,2212,2528,2844,5372 are the first ten multiples of 316.

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 316 and 322, for example, are 3792, 5372, and 5152. 50876 is the least common multiple since it is the smallest.

316 and 322 have an LCM of 50876.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 316 and 322, than apply into the LCM equation.

GCF(316,322) = 2
LCM(316,322) = ( 316 × 322) / 2
LCM(316,322) = 101752 / 2
LCM(316,322) = 50876

1. What is the LCM of 316 and 322?

The LCM of 316 and 322 is 50876.

2. How to find the lowest common multiple of 316 and 322?

To find the lowest common multiple of 316 and 322, we have to get the multip;es of both numbers and identify the least common multiple in them which is 50876.

3. What are the Factors of 316?

Answer: Factors of 316 are 1, 2, 4, 79, 158, 316. There are 6 integers that are factors of 316. The greatest factor of 316 is 316.

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 316 and 322 = 50876

Step 1: Find the prime factorization of 316

316 = 2 x 2 x 79

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 = 50876 = 2 x 2 x 7 x 23 x 79

Step 4: Therefore, the least common multiple of 316 and 322 is 50876.