Given Numbers are 449, 456

We can find the LCM of 449, 456 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 449 and 456

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

Multiples of 456 =456,912,1368,1824,2280,2736,3192,3648,4104,4560,5016,5472,5928,6384,6840,7296,7752,

Now, get the least common multiple of 449, 456 which is 204744

So, the LCM of 449, 456 is 204744.

One method for determining the LCM of 449 and 456 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 456's prime factorization:

Prime factors of 456 are 2, 3,19.

456 = 2³×3¹×19¹

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, 2, 3,19

2³×3¹×19¹×449¹ = 204744

This shows that the LCM of 449 and 456 is 204744.

The first step in determining the Least Common Multiple of 449 and 456 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 449 and 456:

Lets look at the first ten multiples of these numbers, 449 and 456:

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

456,912,1368,1824,2280,2736,3192,3648,4104,7752 are the first ten multiples of 456.

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 456, for example, are 5388, 7633, and 7296. 204744 is the least common multiple since it is the smallest.

449 and 456 have an LCM of 204744.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 449 and 456, than apply into the LCM equation.

GCF(449,456) = 1
LCM(449,456) = ( 449 × 456) / 1
LCM(449,456) = 204744 / 1
LCM(449,456) = 204744

1. What is the LCM of 449 and 456?

The LCM of 449 and 456 is 204744.

2. How to find the lowest common multiple of 449 and 456?

To find the lowest common multiple of 449 and 456, we have to get the multip;es of both numbers and identify the least common multiple in them which is 204744.

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 456?

Answer: Factors of 456 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456. There are 16 integers that are factors of 456. The greatest factor of 456 is 456.

Answer:

Least Common Multiple of 449 and 456 = 204744

Step 1: Find the prime factorization of 449

449 = 449

Step 2: Find the prime factorization of 456

456 = 2 x 2 x 2 x 3 x 19

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

LCM = 204744 = 2 x 2 x 2 x 3 x 19 x 449

Step 4: Therefore, the least common multiple of 449 and 456 is 204744.