Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/184, 1735/7971 quickly i.e. 137065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/184, 1735/7971 is 137065.
LCM(79/184, 1735/7971) = 137065
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/184,1735/7971
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 79,1735
Least Common Multiple of Numerators i.e. LCM of 79,1735 is 137065.
GCF of Denominators means GCF of 184,7971 as per the given fractions.
GCF of 184,7971 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,1735
Given numbers has no common factors except 1. So, there LCM is their product i.e 137065
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 79,1735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,1735) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,1735) x common factors =1 x 1 = 1
LCM(79,1735) = ( 79 × 1735 ) / 1
LCM(79,1735) = 137065 / 1
LCM(79,1735) = 137065
Lets's calculate GCF of 184,7971
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137065/1
Therefore the LCM of Fractions 79/184,1735/7971 is 137065
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 7971
List of positive integer factors of 7971 that divides 7971 without a remainder.
1,3,2657,7971
Greatest Common Factor
We found the factors 184,7971 . The biggest common factor number is the GCF number.
So the greatest common factor 184,7971 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 79/184, 1735/7971?
Answer: LCM of Numerators as per given numbers 79/184, 1735/7971 is
LCM of Numerators i.e. for 79,1735 is 137065
GCF of denominators i.e. for 184,7971 is 1.
Thus, LCM of Fractions is 137065.Finally, LCM of Fractions for 79/184, 1735/7971 is 137065.