Given Numbers are 5760, 5764

We can find the LCM of 5760, 5764 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 5760 and 5764

Multiples of 5760 =5760,11520,17280,23040,28800,34560,40320,46080,51840,57600,63360,69120,74880,80640,86400,92160,97920,

Multiples of 5764 =5764,11528,17292,23056,28820,34584,40348,46112,51876,57640,63404,69168,74932,80696,86460,92224,97988,

Now, get the least common multiple of 5760, 5764 which is 8300160

So, the LCM of 5760, 5764 is 8300160.

One method for determining the LCM of 5760 and 5764 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 5760's prime factorization:

Prime factors of 5760 are 2, 3,5.

5760 = 2⁷×3²×5¹

And this is 5764's prime factorization:

Prime factors of 5764 are 2, 11,131.

5764 = 2²×11¹×131¹

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, 3,5, 11,131

2⁷×3²×5¹×11¹×131¹ = 8300160

This shows that the LCM of 5760 and 5764 is 8300160.

The first step in determining the Least Common Multiple of 5760 and 5764 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 5760 and 5764:

Lets look at the first ten multiples of these numbers, 5760 and 5764:

5760,11520,17280,23040,28800,34560,40320,46080,51840,97920 are the first ten multiples of 5760.

5764,11528,17292,23056,28820,34584,40348,46112,51876,97988 are the first ten multiples of 5764.

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 5760 and 5764, for example, are 69120, 97920, and 92224. 8300160 is the least common multiple since it is the smallest.

5760 and 5764 have an LCM of 8300160.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5760 and 5764, than apply into the LCM equation.

GCF(5760,5764) = 4
LCM(5760,5764) = ( 5760 × 5764) / 4
LCM(5760,5764) = 33200640 / 4
LCM(5760,5764) = 8300160

1. What is the LCM of 5760 and 5764?

The LCM of 5760 and 5764 is 8300160.

2. How to find the lowest common multiple of 5760 and 5764?

To find the lowest common multiple of 5760 and 5764, we have to get the multip;es of both numbers and identify the least common multiple in them which is 8300160.

3. What are the Factors of 5760?

Answer: Factors of 5760 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 288, 320, 360, 384, 480, 576, 640, 720, 960, 1152, 1440, 1920, 2880, 5760. There are 48 integers that are factors of 5760. The greatest factor of 5760 is 5760.

4. What are the Factors of 5764?

Answer: Factors of 5764 are 1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764. There are 12 integers that are factors of 5764. The greatest factor of 5764 is 5764.

Answer:

Least Common Multiple of 5760 and 5764 = 8300160

Step 1: Find the prime factorization of 5760

5760 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5

Step 2: Find the prime factorization of 5764

5764 = 2 x 2 x 11 x 131

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

LCM = 8300160 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 131

Step 4: Therefore, the least common multiple of 5760 and 5764 is 8300160.