Given Numbers are 94, 98

We can find the LCM of 94, 98 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 94 and 98

Multiples of 94 =94,188,282,376,470,564,658,752,846,940,1034,1128,1222,1316,1410,1504,1598,

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

Now, get the least common multiple of 94, 98 which is 4606

So, the LCM of 94, 98 is 4606.

One method for determining the LCM of 94 and 98 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 94's prime factorization:

Prime factors of 94 are 2,47.

94 = 2¹×47¹

And this is 98's prime factorization:

Prime factors of 98 are 2,7.

98 = 2¹×7²

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: 2,47,7

2¹×7²×47¹ = 4606

This shows that the LCM of 94 and 98 is 4606.

The first step in determining the Least Common Multiple of 94 and 98 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 94 and 98:

Lets look at the first ten multiples of these numbers, 94 and 98:

94,188,282,376,470,564,658,752,846,1598 are the first ten multiples of 94.

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

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 94 and 98, for example, are 1128, 1598, and 1568. 4606 is the least common multiple since it is the smallest.

94 and 98 have an LCM of 4606.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94 and 98, than apply into the LCM equation.

GCF(94,98) = 2
LCM(94,98) = ( 94 × 98) / 2
LCM(94,98) = 9212 / 2
LCM(94,98) = 4606

1. What is the LCM of 94 and 98?

The LCM of 94 and 98 is 4606.

2. How to find the lowest common multiple of 94 and 98?

To find the lowest common multiple of 94 and 98, we have to get the multip;es of both numbers and identify the least common multiple in them which is 4606.

3. What are the Factors of 94?

Answer: Factors of 94 are 1, 2, 47, 94. There are 4 integers that are factors of 94. The greatest factor of 94 is 94.

4. 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.

Answer:

Least Common Multiple of 94 and 98 = 4606

Step 1: Find the prime factorization of 94

94 = 2 x 47

Step 2: Find the prime factorization of 98

98 = 2 x 7 x 7

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

LCM = 4606 = 2 x 7 x 7 x 47

Step 4: Therefore, the least common multiple of 94 and 98 is 4606.