LCM of 98 and 103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 98 and 103 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 10094 as output. Here you can check the answer for Find the LCM of 98 and 103.
What is LCM of 98 and 103
Given Numbers are 98, 103
We can find the LCM of 98, 103 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 98 and 103
Multiples of 98 =98,196,294,392,490,588,686,784,882,980,1078,1176,1274,1372,1470,1568,1666,
Multiples of 103 =103,206,309,412,515,618,721,824,927,1030,1133,1236,1339,1442,1545,1648,1751,
Now, get the least common multiple of 98, 103 which is 10094
So, the LCM of 98, 103 is 10094.
Least Common Multiple (LCM) of 98 and 103 with the help of Prime Factorisation
One method for determining the LCM of 98 and 103 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:
| 2 | 98 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 98 are 2,7.
98 = 21×72
And this is 103's prime factorization:
| 103 | 103 |
| 1 |
Prime factors of 103 are 103.
103 = 1031
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: 2,7,103
.21×72×1031 = 10094
This shows that the LCM of 98 and 103 is 10094.
How to Calculate the LCM of 98 and 103 Using Common Multiples
The first step in determining the Least Common Multiple of 98 and 103 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 98 and 103:
Lets look at the first ten multiples of these numbers, 98 and 103:
98,196,294,392,490,588,686,784,882,1666 are the first ten multiples of 98.
103,206,309,412,515,618,721,824,927,1751 are the first ten multiples of 103.
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 103, for example, are 1176, 1666, and 1648. 10094 is the least common multiple since it is the smallest.
98 and 103 have an LCM of 10094.
Least Common Multiple of 98 and 103 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98 and 103, than apply into the LCM equation.
GCF(98,103) = 1
LCM(98,103) = ( 98 × 103) / 1
LCM(98,103) = 10094 / 1
LCM(98,103) = 10094
Related Least Common Multiples of 98
Related Least Common Multiples of 103
Frequently Asked Questions on LCM of 98 and 103
1. What is the LCM of 98 and 103?
The LCM of 98 and 103 is 10094.
2. How to find the lowest common multiple of 98 and 103?
To find the lowest common multiple of 98 and 103, we have to get the multip;es of both numbers and identify the least common multiple in them which is 10094.
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 103?
Answer: Factors of 103 are 1, 103. There are 2 integers that are factors of 103. The greatest factor of 103 is 103.
5. How to Find the LCM of 98 and 103?Answer:
Least Common Multiple of 98 and 103 = 10094
Step 1: Find the prime factorization of 98
98 = 2 x 7 x 7
Step 2: Find the prime factorization of 103
103 = 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10094 = 2 x 7 x 7 x 103
Step 4: Therefore, the least common multiple of 98 and 103 is 10094.