Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/112, 1919/2797 quickly i.e. 176548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/112, 1919/2797 is 176548.
LCM(92/112, 1919/2797) = 176548
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/112,1919/2797
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 92,1919
Least Common Multiple of Numerators i.e. LCM of 92,1919 is 176548.
GCF of Denominators means GCF of 112,2797 as per the given fractions.
GCF of 112,2797 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,1919
Given numbers has no common factors except 1. So, there LCM is their product i.e 176548
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 92,1919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,1919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,1919) x common factors =1 x 1 = 1
LCM(92,1919) = ( 92 × 1919 ) / 1
LCM(92,1919) = 176548 / 1
LCM(92,1919) = 176548
Lets's calculate GCF of 112,2797
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176548/1
Therefore the LCM of Fractions 92/112,1919/2797 is 176548
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Factors of 2797
List of positive integer factors of 2797 that divides 2797 without a remainder.
1,2797
Greatest Common Factor
We found the factors 112,2797 . The biggest common factor number is the GCF number.
So the greatest common factor 112,2797 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 92/112, 1919/2797?
Answer: LCM of Numerators as per given numbers 92/112, 1919/2797 is
LCM of Numerators i.e. for 92,1919 is 176548
GCF of denominators i.e. for 112,2797 is 1.
Thus, LCM of Fractions is 176548.Finally, LCM of Fractions for 92/112, 1919/2797 is 176548.