Given Numbers are 464, 472

We can find the LCM of 464, 472 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 464 and 472

Multiples of 464 =464,928,1392,1856,2320,2784,3248,3712,4176,4640,5104,5568,6032,6496,6960,7424,7888,

Multiples of 472 =472,944,1416,1888,2360,2832,3304,3776,4248,4720,5192,5664,6136,6608,7080,7552,8024,

Now, get the least common multiple of 464, 472 which is 27376

So, the LCM of 464, 472 is 27376.

One method for determining the LCM of 464 and 472 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 464's prime factorization:

Prime factors of 464 are 2,29.

464 = 2⁴×29¹

And this is 472's prime factorization:

Prime factors of 472 are 2,59.

472 = 2³×59¹

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: 2,29,59

2⁴×29¹×59¹ = 27376

This shows that the LCM of 464 and 472 is 27376.

The first step in determining the Least Common Multiple of 464 and 472 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 464 and 472:

Lets look at the first ten multiples of these numbers, 464 and 472:

464,928,1392,1856,2320,2784,3248,3712,4176,7888 are the first ten multiples of 464.

472,944,1416,1888,2360,2832,3304,3776,4248,8024 are the first ten multiples of 472.

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 464 and 472, for example, are 5568, 7888, and 7552. 27376 is the least common multiple since it is the smallest.

464 and 472 have an LCM of 27376.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 464 and 472, than apply into the LCM equation.

GCF(464,472) = 8
LCM(464,472) = ( 464 × 472) / 8
LCM(464,472) = 219008 / 8
LCM(464,472) = 27376

1. What is the LCM of 464 and 472?

The LCM of 464 and 472 is 27376.

2. How to find the lowest common multiple of 464 and 472?

To find the lowest common multiple of 464 and 472, we have to get the multip;es of both numbers and identify the least common multiple in them which is 27376.

3. What are the Factors of 464?

Answer: Factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464. There are 10 integers that are factors of 464. The greatest factor of 464 is 464.

4. What are the Factors of 472?

Answer: Factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472. There are 8 integers that are factors of 472. The greatest factor of 472 is 472.

Answer:

Least Common Multiple of 464 and 472 = 27376

Step 1: Find the prime factorization of 464

464 = 2 x 2 x 2 x 2 x 29

Step 2: Find the prime factorization of 472

472 = 2 x 2 x 2 x 59

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

LCM = 27376 = 2 x 2 x 2 x 2 x 29 x 59

Step 4: Therefore, the least common multiple of 464 and 472 is 27376.