Given Numbers are 474, 481

We can find the LCM of 474, 481 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 474 and 481

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

Multiples of 481 =481,962,1443,1924,2405,2886,3367,3848,4329,4810,5291,5772,6253,6734,7215,7696,8177,

Now, get the least common multiple of 474, 481 which is 227994

So, the LCM of 474, 481 is 227994.

One method for determining the LCM of 474 and 481 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 481's prime factorization:

Prime factors of 481 are 13,37.

481 = 13¹×37¹

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, 13,37

2¹×3¹×13¹×37¹×79¹ = 227994

This shows that the LCM of 474 and 481 is 227994.

The first step in determining the Least Common Multiple of 474 and 481 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 474 and 481:

Lets look at the first ten multiples of these numbers, 474 and 481:

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

481,962,1443,1924,2405,2886,3367,3848,4329,8177 are the first ten multiples of 481.

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 481, for example, are 5688, 8058, and 7696. 227994 is the least common multiple since it is the smallest.

474 and 481 have an LCM of 227994.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 474 and 481, than apply into the LCM equation.

GCF(474,481) = 1
LCM(474,481) = ( 474 × 481) / 1
LCM(474,481) = 227994 / 1
LCM(474,481) = 227994

1. What is the LCM of 474 and 481?

The LCM of 474 and 481 is 227994.

2. How to find the lowest common multiple of 474 and 481?

To find the lowest common multiple of 474 and 481, we have to get the multip;es of both numbers and identify the least common multiple in them which is 227994.

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 481?

Answer: Factors of 481 are 1, 13, 37, 481. There are 4 integers that are factors of 481. The greatest factor of 481 is 481.

Answer:

Least Common Multiple of 474 and 481 = 227994

Step 1: Find the prime factorization of 474

474 = 2 x 3 x 79

Step 2: Find the prime factorization of 481

481 = 13 x 37

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

LCM = 227994 = 2 x 3 x 13 x 37 x 79

Step 4: Therefore, the least common multiple of 474 and 481 is 227994.