Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 401/39, 241/68, 641/384 quickly i.e. 61946881 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 401/39, 241/68, 641/384 is 61946881.
LCM(401/39, 241/68, 641/384) = 61946881
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 401/39,241/68,641/384
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 401,241,641
Least Common Multiple of Numerators i.e. LCM of 401,241,641 is 61946881.
GCF of Denominators means GCF of 39,68,384 as per the given fractions.
GCF of 39,68,384 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 401,241,641
Given numbers has no common factors except 1. So, there LCM is their product i.e 61946881
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 401,241,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,241,641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,241,641) x common factors =1 x 1 = 1
LCM(401,241,641) = ( 401 × 241 × 641 ) / 1
LCM(401,241,641) = 61946881 / 1
LCM(401,241,641) = 61946881
Lets's calculate GCF of 39,68,384
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61946881/1
Therefore the LCM of Fractions 401/39,241/68,641/384 is 61946881
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Greatest Common Factor
We found the factors 39,68,384 . The biggest common factor number is the GCF number.
So the greatest common factor 39,68,384 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 401/39, 241/68, 641/384?
Answer: LCM of Numerators as per given numbers 401/39, 241/68, 641/384 is
LCM of Numerators i.e. for 401,241,641 is 61946881
GCF of denominators i.e. for 39,68,384 is 1.
Thus, LCM of Fractions is 61946881.Finally, LCM of Fractions for 401/39, 241/68, 641/384 is 61946881.