Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/241, 76/664, 601/446 quickly i.e. 3608404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/241, 76/664, 601/446 is 3608404.
LCM(79/241, 76/664, 601/446) = 3608404
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/241,76/664,601/446
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 79,76,601
Least Common Multiple of Numerators i.e. LCM of 79,76,601 is 3608404.
GCF of Denominators means GCF of 241,664,446 as per the given fractions.
GCF of 241,664,446 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,76,601
Given numbers has no common factors except 1. So, there LCM is their product i.e 3608404
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 79,76,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,76,601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,76,601) x common factors =1 x 1 = 1
LCM(79,76,601) = ( 79 × 76 × 601 ) / 1
LCM(79,76,601) = 3608404 / 1
LCM(79,76,601) = 3608404
Lets's calculate GCF of 241,664,446
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3608404/1
Therefore the LCM of Fractions 79/241,76/664,601/446 is 3608404
Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1,241
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Greatest Common Factor
We found the factors 241,664,446 . The biggest common factor number is the GCF number.
So the greatest common factor 241,664,446 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 79/241, 76/664, 601/446?
Answer: LCM of Numerators as per given numbers 79/241, 76/664, 601/446 is
LCM of Numerators i.e. for 79,76,601 is 3608404
GCF of denominators i.e. for 241,664,446 is 1.
Thus, LCM of Fractions is 3608404.Finally, LCM of Fractions for 79/241, 76/664, 601/446 is 3608404.