Given Numbers are 98, 106

We can find the LCM of 98, 106 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 98 and 106

Multiples of 98 =98,196,294,392,490,588,686,784,882,980,1078,1176,1274,1372,1470,1568,1666,

Multiples of 106 =106,212,318,424,530,636,742,848,954,1060,1166,1272,1378,1484,1590,1696,1802,

Now, get the least common multiple of 98, 106 which is 5194

So, the LCM of 98, 106 is 5194.

One method for determining the LCM of 98 and 106 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 98's prime factorization:

Prime factors of 98 are 2,7.

98 = 2¹×7²

And this is 106's prime factorization:

Prime factors of 106 are 2,53.

106 = 2¹×53¹

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: 2,7,53

2¹×7²×53¹ = 5194

This shows that the LCM of 98 and 106 is 5194.

The first step in determining the Least Common Multiple of 98 and 106 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 98 and 106:

Lets look at the first ten multiples of these numbers, 98 and 106:

98,196,294,392,490,588,686,784,882,1666 are the first ten multiples of 98.

106,212,318,424,530,636,742,848,954,1802 are the first ten multiples of 106.

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 98 and 106, for example, are 1176, 1666, and 1696. 5194 is the least common multiple since it is the smallest.

98 and 106 have an LCM of 5194.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98 and 106, than apply into the LCM equation.

GCF(98,106) = 2
LCM(98,106) = ( 98 × 106) / 2
LCM(98,106) = 10388 / 2
LCM(98,106) = 5194

1. What is the LCM of 98 and 106?

The LCM of 98 and 106 is 5194.

2. How to find the lowest common multiple of 98 and 106?

To find the lowest common multiple of 98 and 106, we have to get the multip;es of both numbers and identify the least common multiple in them which is 5194.

3. What are the Factors of 98?

Answer: Factors of 98 are 1, 2, 7, 14, 49, 98. There are 6 integers that are factors of 98. The greatest factor of 98 is 98.

4. What are the Factors of 106?

Answer: Factors of 106 are 1, 2, 53, 106. There are 4 integers that are factors of 106. The greatest factor of 106 is 106.

Answer:

Least Common Multiple of 98 and 106 = 5194

Step 1: Find the prime factorization of 98

98 = 2 x 7 x 7

Step 2: Find the prime factorization of 106

106 = 2 x 53

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

LCM = 5194 = 2 x 7 x 7 x 53

Step 4: Therefore, the least common multiple of 98 and 106 is 5194.