Given Numbers are 285, 292

We can find the LCM of 285, 292 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 285 and 292

Multiples of 285 =285,570,855,1140,1425,1710,1995,2280,2565,2850,3135,3420,3705,3990,4275,4560,4845,

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

Now, get the least common multiple of 285, 292 which is 83220

So, the LCM of 285, 292 is 83220.

One method for determining the LCM of 285 and 292 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 285's prime factorization:

Prime factors of 285 are 3, 5,19.

285 = 3¹×5¹×19¹

And this is 292's prime factorization:

Prime factors of 292 are 2,73.

292 = 2²×73¹

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, 5,19, 2,73

2²×3¹×5¹×19¹×73¹ = 83220

This shows that the LCM of 285 and 292 is 83220.

The first step in determining the Least Common Multiple of 285 and 292 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 285 and 292:

Lets look at the first ten multiples of these numbers, 285 and 292:

285,570,855,1140,1425,1710,1995,2280,2565,4845 are the first ten multiples of 285.

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

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 285 and 292, for example, are 3420, 4845, and 4672. 83220 is the least common multiple since it is the smallest.

285 and 292 have an LCM of 83220.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 285 and 292, than apply into the LCM equation.

GCF(285,292) = 1
LCM(285,292) = ( 285 × 292) / 1
LCM(285,292) = 83220 / 1
LCM(285,292) = 83220

1. What is the LCM of 285 and 292?

The LCM of 285 and 292 is 83220.

2. How to find the lowest common multiple of 285 and 292?

To find the lowest common multiple of 285 and 292, we have to get the multip;es of both numbers and identify the least common multiple in them which is 83220.

3. What are the Factors of 285?

Answer: Factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285. There are 8 integers that are factors of 285. The greatest factor of 285 is 285.

4. 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.

Answer:

Least Common Multiple of 285 and 292 = 83220

Step 1: Find the prime factorization of 285

285 = 3 x 5 x 19

Step 2: Find the prime factorization of 292

292 = 2 x 2 x 73

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

LCM = 83220 = 2 x 2 x 3 x 5 x 19 x 73

Step 4: Therefore, the least common multiple of 285 and 292 is 83220.