Given Numbers are 449, 457

We can find the LCM of 449, 457 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 449 and 457

Multiples of 449 =449,898,1347,1796,2245,2694,3143,3592,4041,4490,4939,5388,5837,6286,6735,7184,7633,

Multiples of 457 =457,914,1371,1828,2285,2742,3199,3656,4113,4570,5027,5484,5941,6398,6855,7312,7769,

Now, get the least common multiple of 449, 457 which is 205193

So, the LCM of 449, 457 is 205193.

One method for determining the LCM of 449 and 457 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 449's prime factorization:

Prime factors of 449 are 449.

449 = 449¹

And this is 457's prime factorization:

Prime factors of 457 are 457.

457 = 457¹

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:449,457

449¹×457¹ = 205193

This shows that the LCM of 449 and 457 is 205193.

The first step in determining the Least Common Multiple of 449 and 457 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 449 and 457:

Lets look at the first ten multiples of these numbers, 449 and 457:

449,898,1347,1796,2245,2694,3143,3592,4041,7633 are the first ten multiples of 449.

457,914,1371,1828,2285,2742,3199,3656,4113,7769 are the first ten multiples of 457.

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 449 and 457, for example, are 5388, 7633, and 7312. 205193 is the least common multiple since it is the smallest.

449 and 457 have an LCM of 205193.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 449 and 457, than apply into the LCM equation.

GCF(449,457) = 1
LCM(449,457) = ( 449 × 457) / 1
LCM(449,457) = 205193 / 1
LCM(449,457) = 205193

1. What is the LCM of 449 and 457?

The LCM of 449 and 457 is 205193.

2. How to find the lowest common multiple of 449 and 457?

To find the lowest common multiple of 449 and 457, we have to get the multip;es of both numbers and identify the least common multiple in them which is 205193.

3. What are the Factors of 449?

Answer: Factors of 449 are 1, 449. There are 2 integers that are factors of 449. The greatest factor of 449 is 449.

4. What are the Factors of 457?

Answer: Factors of 457 are 1, 457. There are 2 integers that are factors of 457. The greatest factor of 457 is 457.

Answer:

Least Common Multiple of 449 and 457 = 205193

Step 1: Find the prime factorization of 449

449 = 449

Step 2: Find the prime factorization of 457

457 = 457

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

LCM = 205193 = 449 x 457

Step 4: Therefore, the least common multiple of 449 and 457 is 205193.