Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2926/788, 4093/5467 quickly i.e. 11976118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2926/788, 4093/5467 is 11976118.
LCM(2926/788, 4093/5467) = 11976118
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2926/788,4093/5467
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 2926,4093
Least Common Multiple of Numerators i.e. LCM of 2926,4093 is 11976118.
GCF of Denominators means GCF of 788,5467 as per the given fractions.
GCF of 788,5467 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2926,4093
Given numbers has no common factors except 1. So, there LCM is their product i.e 11976118
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 2926,4093 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2926,4093) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2926,4093) x common factors =1 x 1 = 1
LCM(2926,4093) = ( 2926 × 4093 ) / 1
LCM(2926,4093) = 11976118 / 1
LCM(2926,4093) = 11976118
Lets's calculate GCF of 788,5467
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11976118/1
Therefore the LCM of Fractions 2926/788,4093/5467 is 11976118
Factors of 788
List of positive integer factors of 788 that divides 788 without a remainder.
1,2,4,197,394,788
Factors of 5467
List of positive integer factors of 5467 that divides 5467 without a remainder.
1,7,11,71,77,497,781,5467
Greatest Common Factor
We found the factors 788,5467 . The biggest common factor number is the GCF number.
So the greatest common factor 788,5467 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 2926/788, 4093/5467?
Answer: LCM of Numerators as per given numbers 2926/788, 4093/5467 is
LCM of Numerators i.e. for 2926,4093 is 11976118
GCF of denominators i.e. for 788,5467 is 1.
Thus, LCM of Fractions is 11976118.Finally, LCM of Fractions for 2926/788, 4093/5467 is 11976118.