Given Numbers are 294, 299

We can find the LCM of 294, 299 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 294 and 299

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

Multiples of 299 =299,598,897,1196,1495,1794,2093,2392,2691,2990,3289,3588,3887,4186,4485,4784,5083,

Now, get the least common multiple of 294, 299 which is 87906

So, the LCM of 294, 299 is 87906.

One method for determining the LCM of 294 and 299 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 299's prime factorization:

Prime factors of 299 are 13,23.

299 = 13¹×23¹

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, 3,7, 13,23

2¹×3¹×7²×13¹×23¹ = 87906

This shows that the LCM of 294 and 299 is 87906.

The first step in determining the Least Common Multiple of 294 and 299 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 294 and 299:

Lets look at the first ten multiples of these numbers, 294 and 299:

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

299,598,897,1196,1495,1794,2093,2392,2691,5083 are the first ten multiples of 299.

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 299, for example, are 3528, 4998, and 4784. 87906 is the least common multiple since it is the smallest.

294 and 299 have an LCM of 87906.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 294 and 299, than apply into the LCM equation.

GCF(294,299) = 1
LCM(294,299) = ( 294 × 299) / 1
LCM(294,299) = 87906 / 1
LCM(294,299) = 87906

1. What is the LCM of 294 and 299?

The LCM of 294 and 299 is 87906.

2. How to find the lowest common multiple of 294 and 299?

To find the lowest common multiple of 294 and 299, we have to get the multip;es of both numbers and identify the least common multiple in them which is 87906.

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 299?

Answer: Factors of 299 are 1, 13, 23, 299. There are 4 integers that are factors of 299. The greatest factor of 299 is 299.

Answer:

Least Common Multiple of 294 and 299 = 87906

Step 1: Find the prime factorization of 294

294 = 2 x 3 x 7 x 7

Step 2: Find the prime factorization of 299

299 = 13 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 = 87906 = 2 x 3 x 7 x 7 x 13 x 23

Step 4: Therefore, the least common multiple of 294 and 299 is 87906.