Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 303/994, 932/791, 641/635 quickly i.e. 181015836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 303/994, 932/791, 641/635 is 181015836.
LCM(303/994, 932/791, 641/635) = 181015836
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 303/994,932/791,641/635
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 303,932,641
Least Common Multiple of Numerators i.e. LCM of 303,932,641 is 181015836.
GCF of Denominators means GCF of 994,791,635 as per the given fractions.
GCF of 994,791,635 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 303,932,641
Given numbers has no common factors except 1. So, there LCM is their product i.e 181015836
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 303,932,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,932,641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(303,932,641) x common factors =1 x 1 = 1
LCM(303,932,641) = ( 303 × 932 × 641 ) / 1
LCM(303,932,641) = 181015836 / 1
LCM(303,932,641) = 181015836
Lets's calculate GCF of 994,791,635
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181015836/1
Therefore the LCM of Fractions 303/994,932/791,641/635 is 181015836
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Greatest Common Factor
We found the factors 994,791,635 . The biggest common factor number is the GCF number.
So the greatest common factor 994,791,635 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 303/994, 932/791, 641/635?
Answer: LCM of Numerators as per given numbers 303/994, 932/791, 641/635 is
LCM of Numerators i.e. for 303,932,641 is 181015836
GCF of denominators i.e. for 994,791,635 is 1.
Thus, LCM of Fractions is 181015836.Finally, LCM of Fractions for 303/994, 932/791, 641/635 is 181015836.