Given Numbers are 294, 302

We can find the LCM of 294, 302 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 294 and 302

Multiples of 294 =294,588,882,1176,1470,1764,2058,2352,2646,2940,3234,3528,3822,4116,4410,4704,4998,

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

Now, get the least common multiple of 294, 302 which is 44394

So, the LCM of 294, 302 is 44394.

One method for determining the LCM of 294 and 302 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 294's prime factorization:

Prime factors of 294 are 2, 3,7.

294 = 2¹×3¹×7²

And this is 302's prime factorization:

Prime factors of 302 are 2,151.

302 = 2¹×151¹

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, 3,7,151

2¹×3¹×7²×151¹ = 44394

This shows that the LCM of 294 and 302 is 44394.

The first step in determining the Least Common Multiple of 294 and 302 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 294 and 302:

Lets look at the first ten multiples of these numbers, 294 and 302:

294,588,882,1176,1470,1764,2058,2352,2646,4998 are the first ten multiples of 294.

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

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 294 and 302, for example, are 3528, 4998, and 4832. 44394 is the least common multiple since it is the smallest.

294 and 302 have an LCM of 44394.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 294 and 302, than apply into the LCM equation.

GCF(294,302) = 2
LCM(294,302) = ( 294 × 302) / 2
LCM(294,302) = 88788 / 2
LCM(294,302) = 44394

1. What is the LCM of 294 and 302?

The LCM of 294 and 302 is 44394.

2. How to find the lowest common multiple of 294 and 302?

To find the lowest common multiple of 294 and 302, we have to get the multip;es of both numbers and identify the least common multiple in them which is 44394.

3. What are the Factors of 294?

Answer: Factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294. There are 12 integers that are factors of 294. The greatest factor of 294 is 294.

4. 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.

Answer:

Least Common Multiple of 294 and 302 = 44394

Step 1: Find the prime factorization of 294

294 = 2 x 3 x 7 x 7

Step 2: Find the prime factorization of 302

302 = 2 x 151

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

LCM = 44394 = 2 x 3 x 7 x 7 x 151

Step 4: Therefore, the least common multiple of 294 and 302 is 44394.