Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/711, 331/103, 497/950 quickly i.e. 8554364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/711, 331/103, 497/950 is 8554364.
LCM(52/711, 331/103, 497/950) = 8554364
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/711,331/103,497/950
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 52,331,497
Least Common Multiple of Numerators i.e. LCM of 52,331,497 is 8554364.
GCF of Denominators means GCF of 711,103,950 as per the given fractions.
GCF of 711,103,950 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,331,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 8554364
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 52,331,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,331,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,331,497) x common factors =1 x 1 = 1
LCM(52,331,497) = ( 52 × 331 × 497 ) / 1
LCM(52,331,497) = 8554364 / 1
LCM(52,331,497) = 8554364
Lets's calculate GCF of 711,103,950
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8554364/1
Therefore the LCM of Fractions 52/711,331/103,497/950 is 8554364
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1,103
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Greatest Common Factor
We found the factors 711,103,950 . The biggest common factor number is the GCF number.
So the greatest common factor 711,103,950 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 52/711, 331/103, 497/950?
Answer: LCM of Numerators as per given numbers 52/711, 331/103, 497/950 is
LCM of Numerators i.e. for 52,331,497 is 8554364
GCF of denominators i.e. for 711,103,950 is 1.
Thus, LCM of Fractions is 8554364.Finally, LCM of Fractions for 52/711, 331/103, 497/950 is 8554364.