Given Numbers are 303, 308

We can find the LCM of 303, 308 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 303 and 308

Multiples of 303 =303,606,909,1212,1515,1818,2121,2424,2727,3030,3333,3636,3939,4242,4545,4848,5151,

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

Now, get the least common multiple of 303, 308 which is 93324

So, the LCM of 303, 308 is 93324.

One method for determining the LCM of 303 and 308 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 303's prime factorization:

Prime factors of 303 are 3,101.

303 = 3¹×101¹

And this is 308's prime factorization:

Prime factors of 308 are 2, 7,11.

308 = 2²×7¹×11¹

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: 3,101, 2, 7,11

2²×3¹×7¹×11¹×101¹ = 93324

This shows that the LCM of 303 and 308 is 93324.

The first step in determining the Least Common Multiple of 303 and 308 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 303 and 308:

Lets look at the first ten multiples of these numbers, 303 and 308:

303,606,909,1212,1515,1818,2121,2424,2727,5151 are the first ten multiples of 303.

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

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 303 and 308, for example, are 3636, 5151, and 4928. 93324 is the least common multiple since it is the smallest.

303 and 308 have an LCM of 93324.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 303 and 308, than apply into the LCM equation.

GCF(303,308) = 1
LCM(303,308) = ( 303 × 308) / 1
LCM(303,308) = 93324 / 1
LCM(303,308) = 93324

1. What is the LCM of 303 and 308?

The LCM of 303 and 308 is 93324.

2. How to find the lowest common multiple of 303 and 308?

To find the lowest common multiple of 303 and 308, we have to get the multip;es of both numbers and identify the least common multiple in them which is 93324.

3. What are the Factors of 303?

Answer: Factors of 303 are 1, 3, 101, 303. There are 4 integers that are factors of 303. The greatest factor of 303 is 303.

4. 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.

Answer:

Least Common Multiple of 303 and 308 = 93324

Step 1: Find the prime factorization of 303

303 = 3 x 101

Step 2: Find the prime factorization of 308

308 = 2 x 2 x 7 x 11

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

LCM = 93324 = 2 x 2 x 3 x 7 x 11 x 101

Step 4: Therefore, the least common multiple of 303 and 308 is 93324.