Given Numbers are 308, 316

We can find the LCM of 308, 316 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 308 and 316

Multiples of 308 =308,616,924,1232,1540,1848,2156,2464,2772,3080,3388,3696,4004,4312,4620,4928,5236,

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

Now, get the least common multiple of 308, 316 which is 24332

So, the LCM of 308, 316 is 24332.

One method for determining the LCM of 308 and 316 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 308's prime factorization:

Prime factors of 308 are 2, 7,11.

308 = 2²×7¹×11¹

And this is 316's prime factorization:

Prime factors of 316 are 2,79.

316 = 2²×79¹

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, 7,11,79

2²×7¹×11¹×79¹ = 24332

This shows that the LCM of 308 and 316 is 24332.

The first step in determining the Least Common Multiple of 308 and 316 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 308 and 316:

Lets look at the first ten multiples of these numbers, 308 and 316:

308,616,924,1232,1540,1848,2156,2464,2772,5236 are the first ten multiples of 308.

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

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 308 and 316, for example, are 3696, 5236, and 5056. 24332 is the least common multiple since it is the smallest.

308 and 316 have an LCM of 24332.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308 and 316, than apply into the LCM equation.

GCF(308,316) = 4
LCM(308,316) = ( 308 × 316) / 4
LCM(308,316) = 97328 / 4
LCM(308,316) = 24332

1. What is the LCM of 308 and 316?

The LCM of 308 and 316 is 24332.

2. How to find the lowest common multiple of 308 and 316?

To find the lowest common multiple of 308 and 316, we have to get the multip;es of both numbers and identify the least common multiple in them which is 24332.

3. What are the Factors of 308?

Answer: Factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308. There are 12 integers that are factors of 308. The greatest factor of 308 is 308.

4. 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.

Answer:

Least Common Multiple of 308 and 316 = 24332

Step 1: Find the prime factorization of 308

308 = 2 x 2 x 7 x 11

Step 2: Find the prime factorization of 316

316 = 2 x 2 x 79

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

LCM = 24332 = 2 x 2 x 7 x 11 x 79

Step 4: Therefore, the least common multiple of 308 and 316 is 24332.