Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 953/711, 5163/529 quickly i.e. 4920339 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 953/711, 5163/529 is 4920339.
LCM(953/711, 5163/529) = 4920339
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 953/711,5163/529
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 953,5163
Least Common Multiple of Numerators i.e. LCM of 953,5163 is 4920339.
GCF of Denominators means GCF of 711,529 as per the given fractions.
GCF of 711,529 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 953,5163
Given numbers has no common factors except 1. So, there LCM is their product i.e 4920339
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 953,5163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,5163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,5163) x common factors =1 x 1 = 1
LCM(953,5163) = ( 953 × 5163 ) / 1
LCM(953,5163) = 4920339 / 1
LCM(953,5163) = 4920339
Lets's calculate GCF of 711,529
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4920339/1
Therefore the LCM of Fractions 953/711,5163/529 is 4920339
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Greatest Common Factor
We found the factors 711,529 . The biggest common factor number is the GCF number.
So the greatest common factor 711,529 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 953/711, 5163/529?
Answer: LCM of Numerators as per given numbers 953/711, 5163/529 is
LCM of Numerators i.e. for 953,5163 is 4920339
GCF of denominators i.e. for 711,529 is 1.
Thus, LCM of Fractions is 4920339.Finally, LCM of Fractions for 953/711, 5163/529 is 4920339.