Given Numbers are 474, 482

We can find the LCM of 474, 482 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 474 and 482

Multiples of 474 =474,948,1422,1896,2370,2844,3318,3792,4266,4740,5214,5688,6162,6636,7110,7584,8058,

Multiples of 482 =482,964,1446,1928,2410,2892,3374,3856,4338,4820,5302,5784,6266,6748,7230,7712,8194,

Now, get the least common multiple of 474, 482 which is 114234

So, the LCM of 474, 482 is 114234.

One method for determining the LCM of 474 and 482 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 474's prime factorization:

Prime factors of 474 are 2, 3,79.

474 = 2¹×3¹×79¹

And this is 482's prime factorization:

Prime factors of 482 are 2,241.

482 = 2¹×241¹

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, 3,79,241

2¹×3¹×79¹×241¹ = 114234

This shows that the LCM of 474 and 482 is 114234.

The first step in determining the Least Common Multiple of 474 and 482 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 474 and 482:

Lets look at the first ten multiples of these numbers, 474 and 482:

474,948,1422,1896,2370,2844,3318,3792,4266,8058 are the first ten multiples of 474.

482,964,1446,1928,2410,2892,3374,3856,4338,8194 are the first ten multiples of 482.

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 474 and 482, for example, are 5688, 8058, and 7712. 114234 is the least common multiple since it is the smallest.

474 and 482 have an LCM of 114234.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 474 and 482, than apply into the LCM equation.

GCF(474,482) = 2
LCM(474,482) = ( 474 × 482) / 2
LCM(474,482) = 228468 / 2
LCM(474,482) = 114234

1. What is the LCM of 474 and 482?

The LCM of 474 and 482 is 114234.

2. How to find the lowest common multiple of 474 and 482?

To find the lowest common multiple of 474 and 482, we have to get the multip;es of both numbers and identify the least common multiple in them which is 114234.

3. What are the Factors of 474?

Answer: Factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474. There are 8 integers that are factors of 474. The greatest factor of 474 is 474.

4. What are the Factors of 482?

Answer: Factors of 482 are 1, 2, 241, 482. There are 4 integers that are factors of 482. The greatest factor of 482 is 482.

Answer:

Least Common Multiple of 474 and 482 = 114234

Step 1: Find the prime factorization of 474

474 = 2 x 3 x 79

Step 2: Find the prime factorization of 482

482 = 2 x 241

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

LCM = 114234 = 2 x 3 x 79 x 241

Step 4: Therefore, the least common multiple of 474 and 482 is 114234.