LCM of 103 and 110
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 103 and 110 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 11330 as output. Here you can check the answer for Find the LCM of 103 and 110.
What is LCM of 103 and 110
Given Numbers are 103, 110
We can find the LCM of 103, 110 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 103 and 110
Multiples of 103 =103,206,309,412,515,618,721,824,927,1030,1133,1236,1339,1442,1545,1648,1751,
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 103, 110 which is 11330
So, the LCM of 103, 110 is 11330.
Least Common Multiple (LCM) of 103 and 110 with the help of Prime Factorisation
One method for determining the LCM of 103 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 103's prime factorization:
| 103 | 103 |
| 1 |
Prime factors of 103 are 103.
103 = 1031
And this is 110's prime factorization:
| 2 | 110 |
| 5 | 55 |
| 11 | 11 |
| 1 |
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:103, 2, 5,11
.21×51×111×1031 = 11330
This shows that the LCM of 103 and 110 is 11330.
How to Calculate the LCM of 103 and 110 Using Common Multiples
The first step in determining the Least Common Multiple of 103 and 110 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 103 and 110:
Lets look at the first ten multiples of these numbers, 103 and 110:
103,206,309,412,515,618,721,824,927,1751 are the first ten multiples of 103.
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 103 and 110, for example, are 1236, 1751, and 1760. 11330 is the least common multiple since it is the smallest.
103 and 110 have an LCM of 11330.
Least Common Multiple of 103 and 110 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 103 and 110, than apply into the LCM equation.
GCF(103,110) = 1
LCM(103,110) = ( 103 × 110) / 1
LCM(103,110) = 11330 / 1
LCM(103,110) = 11330
Related Least Common Multiples of 103
Related Least Common Multiples of 110
Frequently Asked Questions on LCM of 103 and 110
1. What is the LCM of 103 and 110?
The LCM of 103 and 110 is 11330.
2. How to find the lowest common multiple of 103 and 110?
To find the lowest common multiple of 103 and 110, we have to get the multip;es of both numbers and identify the least common multiple in them which is 11330.
3. 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.
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.
5. How to Find the LCM of 103 and 110?Answer:
Least Common Multiple of 103 and 110 = 11330
Step 1: Find the prime factorization of 103
103 = 103
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 = 11330 = 2 x 5 x 11 x 103
Step 4: Therefore, the least common multiple of 103 and 110 is 11330.