Given Numbers are 104, 110

We can find the LCM of 104, 110 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 104 and 110

Multiples of 104 =104,208,312,416,520,624,728,832,936,1040,1144,1248,1352,1456,1560,1664,1768,

Multiples of 110 =110,220,330,440,550,660,770,880,990,1100,1210,1320,1430,1540,1650,1760,1870,

Now, get the least common multiple of 104, 110 which is 5720

So, the LCM of 104, 110 is 5720.

One method for determining the LCM of 104 and 110 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 104's prime factorization:

Prime factors of 104 are 2,13.

104 = 2³×13¹

And this is 110's prime factorization:

Prime factors of 110 are 2, 5,11.

110 = 2¹×5¹×11¹

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: 2,13, 5,11

2³×5¹×11¹×13¹ = 5720

This shows that the LCM of 104 and 110 is 5720.

The first step in determining the Least Common Multiple of 104 and 110 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 104 and 110:

Lets look at the first ten multiples of these numbers, 104 and 110:

104,208,312,416,520,624,728,832,936,1768 are the first ten multiples of 104.

110,220,330,440,550,660,770,880,990,1870 are the first ten multiples of 110.

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 104 and 110, for example, are 1248, 1768, and 1760. 5720 is the least common multiple since it is the smallest.

104 and 110 have an LCM of 5720.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 104 and 110, than apply into the LCM equation.

GCF(104,110) = 2
LCM(104,110) = ( 104 × 110) / 2
LCM(104,110) = 11440 / 2
LCM(104,110) = 5720

1. What is the LCM of 104 and 110?

The LCM of 104 and 110 is 5720.

2. How to find the lowest common multiple of 104 and 110?

To find the lowest common multiple of 104 and 110, we have to get the multip;es of both numbers and identify the least common multiple in them which is 5720.

3. What are the Factors of 104?

Answer: Factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104. There are 8 integers that are factors of 104. The greatest factor of 104 is 104.

4. What are the Factors of 110?

Answer: Factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110. There are 8 integers that are factors of 110. The greatest factor of 110 is 110.

Answer:

Least Common Multiple of 104 and 110 = 5720

Step 1: Find the prime factorization of 104

104 = 2 x 2 x 2 x 13

Step 2: Find the prime factorization of 110

110 = 2 x 5 x 11

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

LCM = 5720 = 2 x 2 x 2 x 5 x 11 x 13

Step 4: Therefore, the least common multiple of 104 and 110 is 5720.