Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/121, 7245/4123 quickly i.e. 79695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/121, 7245/4123 is 79695.
LCM(11/121, 7245/4123) = 79695
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/121,7245/4123
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 11,7245
Least Common Multiple of Numerators i.e. LCM of 11,7245 is 79695.
GCF of Denominators means GCF of 121,4123 as per the given fractions.
GCF of 121,4123 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,7245
Given numbers has no common factors except 1. So, there LCM is their product i.e 79695
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 11,7245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,7245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,7245) x common factors =1 x 1 = 1
LCM(11,7245) = ( 11 × 7245 ) / 1
LCM(11,7245) = 79695 / 1
LCM(11,7245) = 79695
Lets's calculate GCF of 121,4123
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79695/1
Therefore the LCM of Fractions 11/121,7245/4123 is 79695
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Factors of 4123
List of positive integer factors of 4123 that divides 4123 without a remainder.
1,7,19,31,133,217,589,4123
Greatest Common Factor
We found the factors 121,4123 . The biggest common factor number is the GCF number.
So the greatest common factor 121,4123 is 1.
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 11/121, 7245/4123?
Answer: LCM of Numerators as per given numbers 11/121, 7245/4123 is
LCM of Numerators i.e. for 11,7245 is 79695
GCF of denominators i.e. for 121,4123 is 1.
Thus, LCM of Fractions is 79695.Finally, LCM of Fractions for 11/121, 7245/4123 is 79695.