Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2255/91, 4736/203 quickly i.e. 10679680/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2255/91, 4736/203 is 10679680/7.
LCM(2255/91, 4736/203) = 10679680/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2255/91,4736/203
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 2255,4736
Least Common Multiple of Numerators i.e. LCM of 2255,4736 is 10679680.
GCF of Denominators means GCF of 91,203 as per the given fractions.
GCF of 91,203 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2255,4736
Given numbers has no common factors except 1. So, there LCM is their product i.e 10679680
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 2255,4736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2255,4736) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2255,4736) x common factors =1 x 1 = 1
LCM(2255,4736) = ( 2255 × 4736 ) / 1
LCM(2255,4736) = 10679680 / 1
LCM(2255,4736) = 10679680
Lets's calculate GCF of 91,203
7 | 91, 203 |
13, 29 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10679680/7
Therefore the LCM of Fractions 2255/91,4736/203 is 10679680/7
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Greatest Common Factor
We found the factors 91,203 . The biggest common factor number is the GCF number.
So the greatest common factor 91,203 is 7.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 2255/91, 4736/203?
Answer: LCM of Numerators as per given numbers 2255/91, 4736/203 is
LCM of Numerators i.e. for 2255,4736 is 10679680
GCF of denominators i.e. for 91,203 is 7.
Thus, LCM of Fractions is 10679680/7.Finally, LCM of Fractions for 2255/91, 4736/203 is 10679680/7.