Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6947/900, 4118/7127 quickly i.e. 28607746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6947/900, 4118/7127 is 28607746.
LCM(6947/900, 4118/7127) = 28607746
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6947/900,4118/7127
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 6947,4118
Least Common Multiple of Numerators i.e. LCM of 6947,4118 is 28607746.
GCF of Denominators means GCF of 900,7127 as per the given fractions.
GCF of 900,7127 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6947,4118
Given numbers has no common factors except 1. So, there LCM is their product i.e 28607746
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 6947,4118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6947,4118) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6947,4118) x common factors =1 x 1 = 1
LCM(6947,4118) = ( 6947 × 4118 ) / 1
LCM(6947,4118) = 28607746 / 1
LCM(6947,4118) = 28607746
Lets's calculate GCF of 900,7127
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28607746/1
Therefore the LCM of Fractions 6947/900,4118/7127 is 28607746
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Factors of 7127
List of positive integer factors of 7127 that divides 7127 without a remainder.
1,7127
Greatest Common Factor
We found the factors 900,7127 . The biggest common factor number is the GCF number.
So the greatest common factor 900,7127 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 6947/900, 4118/7127?
Answer: LCM of Numerators as per given numbers 6947/900, 4118/7127 is
LCM of Numerators i.e. for 6947,4118 is 28607746
GCF of denominators i.e. for 900,7127 is 1.
Thus, LCM of Fractions is 28607746.Finally, LCM of Fractions for 6947/900, 4118/7127 is 28607746.