Given Numbers are 448, 454

We can find the LCM of 448, 454 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 448 and 454

Multiples of 448 =448,896,1344,1792,2240,2688,3136,3584,4032,4480,4928,5376,5824,6272,6720,7168,7616,

Multiples of 454 =454,908,1362,1816,2270,2724,3178,3632,4086,4540,4994,5448,5902,6356,6810,7264,7718,

Now, get the least common multiple of 448, 454 which is 101696

So, the LCM of 448, 454 is 101696.

One method for determining the LCM of 448 and 454 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 448's prime factorization:

Prime factors of 448 are 2,7.

448 = 2⁶×7¹

And this is 454's prime factorization:

Prime factors of 454 are 2,227.

454 = 2¹×227¹

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: 2,7,227

2⁶×7¹×227¹ = 101696

This shows that the LCM of 448 and 454 is 101696.

The first step in determining the Least Common Multiple of 448 and 454 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 448 and 454:

Lets look at the first ten multiples of these numbers, 448 and 454:

448,896,1344,1792,2240,2688,3136,3584,4032,7616 are the first ten multiples of 448.

454,908,1362,1816,2270,2724,3178,3632,4086,7718 are the first ten multiples of 454.

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 448 and 454, for example, are 5376, 7616, and 7264. 101696 is the least common multiple since it is the smallest.

448 and 454 have an LCM of 101696.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 448 and 454, than apply into the LCM equation.

GCF(448,454) = 2
LCM(448,454) = ( 448 × 454) / 2
LCM(448,454) = 203392 / 2
LCM(448,454) = 101696

1. What is the LCM of 448 and 454?

The LCM of 448 and 454 is 101696.

2. How to find the lowest common multiple of 448 and 454?

To find the lowest common multiple of 448 and 454, we have to get the multip;es of both numbers and identify the least common multiple in them which is 101696.

3. What are the Factors of 448?

Answer: Factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448. There are 14 integers that are factors of 448. The greatest factor of 448 is 448.

4. What are the Factors of 454?

Answer: Factors of 454 are 1, 2, 227, 454. There are 4 integers that are factors of 454. The greatest factor of 454 is 454.

Answer:

Least Common Multiple of 448 and 454 = 101696

Step 1: Find the prime factorization of 448

448 = 2 x 2 x 2 x 2 x 2 x 2 x 7

Step 2: Find the prime factorization of 454

454 = 2 x 227

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

LCM = 101696 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 227

Step 4: Therefore, the least common multiple of 448 and 454 is 101696.