Given Numbers are 302, 306

We can find the LCM of 302, 306 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 302 and 306

Multiples of 302 =302,604,906,1208,1510,1812,2114,2416,2718,3020,3322,3624,3926,4228,4530,4832,5134,

Multiples of 306 =306,612,918,1224,1530,1836,2142,2448,2754,3060,3366,3672,3978,4284,4590,4896,5202,

Now, get the least common multiple of 302, 306 which is 46206

So, the LCM of 302, 306 is 46206.

One method for determining the LCM of 302 and 306 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 302's prime factorization:

Prime factors of 302 are 2,151.

302 = 2¹×151¹

And this is 306's prime factorization:

Prime factors of 306 are 2, 3,17.

306 = 2¹×3²×17¹

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: 2,151, 3,17

2¹×3²×17¹×151¹ = 46206

This shows that the LCM of 302 and 306 is 46206.

The first step in determining the Least Common Multiple of 302 and 306 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 302 and 306:

Lets look at the first ten multiples of these numbers, 302 and 306:

302,604,906,1208,1510,1812,2114,2416,2718,5134 are the first ten multiples of 302.

306,612,918,1224,1530,1836,2142,2448,2754,5202 are the first ten multiples of 306.

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 302 and 306, for example, are 3624, 5134, and 4896. 46206 is the least common multiple since it is the smallest.

302 and 306 have an LCM of 46206.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 302 and 306, than apply into the LCM equation.

GCF(302,306) = 2
LCM(302,306) = ( 302 × 306) / 2
LCM(302,306) = 92412 / 2
LCM(302,306) = 46206

1. What is the LCM of 302 and 306?

The LCM of 302 and 306 is 46206.

2. How to find the lowest common multiple of 302 and 306?

To find the lowest common multiple of 302 and 306, we have to get the multip;es of both numbers and identify the least common multiple in them which is 46206.

3. What are the Factors of 302?

Answer: Factors of 302 are 1, 2, 151, 302. There are 4 integers that are factors of 302. The greatest factor of 302 is 302.

4. What are the Factors of 306?

Answer: Factors of 306 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306. There are 12 integers that are factors of 306. The greatest factor of 306 is 306.

Answer:

Least Common Multiple of 302 and 306 = 46206

Step 1: Find the prime factorization of 302

302 = 2 x 151

Step 2: Find the prime factorization of 306

306 = 2 x 3 x 3 x 17

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

LCM = 46206 = 2 x 3 x 3 x 17 x 151

Step 4: Therefore, the least common multiple of 302 and 306 is 46206.