Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5396/70, 4131/969 quickly i.e. 22290876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5396/70, 4131/969 is 22290876.
LCM(5396/70, 4131/969) = 22290876
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5396/70,4131/969
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 5396,4131
Least Common Multiple of Numerators i.e. LCM of 5396,4131 is 22290876.
GCF of Denominators means GCF of 70,969 as per the given fractions.
GCF of 70,969 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5396,4131
Given numbers has no common factors except 1. So, there LCM is their product i.e 22290876
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 5396,4131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5396,4131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5396,4131) x common factors =1 x 1 = 1
LCM(5396,4131) = ( 5396 × 4131 ) / 1
LCM(5396,4131) = 22290876 / 1
LCM(5396,4131) = 22290876
Lets's calculate GCF of 70,969
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22290876/1
Therefore the LCM of Fractions 5396/70,4131/969 is 22290876
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 969
List of positive integer factors of 969 that divides 969 without a remainder.
1,3,17,19,51,57,323,969
Greatest Common Factor
We found the factors 70,969 . The biggest common factor number is the GCF number.
So the greatest common factor 70,969 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 5396/70, 4131/969?
Answer: LCM of Numerators as per given numbers 5396/70, 4131/969 is
LCM of Numerators i.e. for 5396,4131 is 22290876
GCF of denominators i.e. for 70,969 is 1.
Thus, LCM of Fractions is 22290876.Finally, LCM of Fractions for 5396/70, 4131/969 is 22290876.