Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7978/942, 7109/4703 quickly i.e. 56715602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7978/942, 7109/4703 is 56715602.
LCM(7978/942, 7109/4703) = 56715602
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7978/942,7109/4703
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 7978,7109
Least Common Multiple of Numerators i.e. LCM of 7978,7109 is 56715602.
GCF of Denominators means GCF of 942,4703 as per the given fractions.
GCF of 942,4703 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7978,7109
Given numbers has no common factors except 1. So, there LCM is their product i.e 56715602
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 7978,7109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7978,7109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7978,7109) x common factors =1 x 1 = 1
LCM(7978,7109) = ( 7978 × 7109 ) / 1
LCM(7978,7109) = 56715602 / 1
LCM(7978,7109) = 56715602
Lets's calculate GCF of 942,4703
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56715602/1
Therefore the LCM of Fractions 7978/942,7109/4703 is 56715602
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Factors of 4703
List of positive integer factors of 4703 that divides 4703 without a remainder.
1,4703
Greatest Common Factor
We found the factors 942,4703 . The biggest common factor number is the GCF number.
So the greatest common factor 942,4703 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 7978/942, 7109/4703?
Answer: LCM of Numerators as per given numbers 7978/942, 7109/4703 is
LCM of Numerators i.e. for 7978,7109 is 56715602
GCF of denominators i.e. for 942,4703 is 1.
Thus, LCM of Fractions is 56715602.Finally, LCM of Fractions for 7978/942, 7109/4703 is 56715602.