Given Numbers are 292, 300

We can find the LCM of 292, 300 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 292 and 300

Multiples of 292 =292,584,876,1168,1460,1752,2044,2336,2628,2920,3212,3504,3796,4088,4380,4672,4964,

Multiples of 300 =300,600,900,1200,1500,1800,2100,2400,2700,3000,3300,3600,3900,4200,4500,4800,5100,

Now, get the least common multiple of 292, 300 which is 21900

So, the LCM of 292, 300 is 21900.

One method for determining the LCM of 292 and 300 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 292's prime factorization:

Prime factors of 292 are 2,73.

292 = 2²×73¹

And this is 300's prime factorization:

Prime factors of 300 are 2, 3,5.

300 = 2²×3¹×5²

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: 2,73, 3,5

2²×3¹×5²×73¹ = 21900

This shows that the LCM of 292 and 300 is 21900.

The first step in determining the Least Common Multiple of 292 and 300 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 292 and 300:

Lets look at the first ten multiples of these numbers, 292 and 300:

292,584,876,1168,1460,1752,2044,2336,2628,4964 are the first ten multiples of 292.

300,600,900,1200,1500,1800,2100,2400,2700,5100 are the first ten multiples of 300.

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 292 and 300, for example, are 3504, 4964, and 4800. 21900 is the least common multiple since it is the smallest.

292 and 300 have an LCM of 21900.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 292 and 300, than apply into the LCM equation.

GCF(292,300) = 4
LCM(292,300) = ( 292 × 300) / 4
LCM(292,300) = 87600 / 4
LCM(292,300) = 21900

1. What is the LCM of 292 and 300?

The LCM of 292 and 300 is 21900.

2. How to find the lowest common multiple of 292 and 300?

To find the lowest common multiple of 292 and 300, we have to get the multip;es of both numbers and identify the least common multiple in them which is 21900.

3. What are the Factors of 292?

Answer: Factors of 292 are 1, 2, 4, 73, 146, 292. There are 6 integers that are factors of 292. The greatest factor of 292 is 292.

4. What are the Factors of 300?

Answer: Factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300. There are 18 integers that are factors of 300. The greatest factor of 300 is 300.

Answer:

Least Common Multiple of 292 and 300 = 21900

Step 1: Find the prime factorization of 292

292 = 2 x 2 x 73

Step 2: Find the prime factorization of 300

300 = 2 x 2 x 3 x 5 x 5

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

LCM = 21900 = 2 x 2 x 3 x 5 x 5 x 73

Step 4: Therefore, the least common multiple of 292 and 300 is 21900.