Given Numbers are 112, 116

We can find the LCM of 112, 116 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 112 and 116

Multiples of 112 =112,224,336,448,560,672,784,896,1008,1120,1232,1344,1456,1568,1680,1792,1904,

Multiples of 116 =116,232,348,464,580,696,812,928,1044,1160,1276,1392,1508,1624,1740,1856,1972,

Now, get the least common multiple of 112, 116 which is 3248

So, the LCM of 112, 116 is 3248.

One method for determining the LCM of 112 and 116 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 112's prime factorization:

Prime factors of 112 are 2,7.

112 = 2⁴×7¹

And this is 116's prime factorization:

Prime factors of 116 are 2,29.

116 = 2²×29¹

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: 2,7,29

2⁴×7¹×29¹ = 3248

This shows that the LCM of 112 and 116 is 3248.

The first step in determining the Least Common Multiple of 112 and 116 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 112 and 116:

Lets look at the first ten multiples of these numbers, 112 and 116:

112,224,336,448,560,672,784,896,1008,1904 are the first ten multiples of 112.

116,232,348,464,580,696,812,928,1044,1972 are the first ten multiples of 116.

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 112 and 116, for example, are 1344, 1904, and 1856. 3248 is the least common multiple since it is the smallest.

112 and 116 have an LCM of 3248.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 112 and 116, than apply into the LCM equation.

GCF(112,116) = 4
LCM(112,116) = ( 112 × 116) / 4
LCM(112,116) = 12992 / 4
LCM(112,116) = 3248

1. What is the LCM of 112 and 116?

The LCM of 112 and 116 is 3248.

2. How to find the lowest common multiple of 112 and 116?

To find the lowest common multiple of 112 and 116, we have to get the multip;es of both numbers and identify the least common multiple in them which is 3248.

3. What are the Factors of 112?

Answer: Factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112. There are 10 integers that are factors of 112. The greatest factor of 112 is 112.

4. What are the Factors of 116?

Answer: Factors of 116 are 1, 2, 4, 29, 58, 116. There are 6 integers that are factors of 116. The greatest factor of 116 is 116.

Answer:

Least Common Multiple of 112 and 116 = 3248

Step 1: Find the prime factorization of 112

112 = 2 x 2 x 2 x 2 x 7

Step 2: Find the prime factorization of 116

116 = 2 x 2 x 29

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

LCM = 3248 = 2 x 2 x 2 x 2 x 7 x 29

Step 4: Therefore, the least common multiple of 112 and 116 is 3248.