Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/101, 1191/2661 quickly i.e. 76224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/101, 1191/2661 is 76224.
LCM(64/101, 1191/2661) = 76224
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/101,1191/2661
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 64,1191
Least Common Multiple of Numerators i.e. LCM of 64,1191 is 76224.
GCF of Denominators means GCF of 101,2661 as per the given fractions.
GCF of 101,2661 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,1191
Given numbers has no common factors except 1. So, there LCM is their product i.e 76224
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 64,1191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,1191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,1191) x common factors =1 x 1 = 1
LCM(64,1191) = ( 64 × 1191 ) / 1
LCM(64,1191) = 76224 / 1
LCM(64,1191) = 76224
Lets's calculate GCF of 101,2661
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76224/1
Therefore the LCM of Fractions 64/101,1191/2661 is 76224
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Factors of 2661
List of positive integer factors of 2661 that divides 2661 without a remainder.
1,3,887,2661
Greatest Common Factor
We found the factors 101,2661 . The biggest common factor number is the GCF number.
So the greatest common factor 101,2661 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 64/101, 1191/2661?
Answer: LCM of Numerators as per given numbers 64/101, 1191/2661 is
LCM of Numerators i.e. for 64,1191 is 76224
GCF of denominators i.e. for 101,2661 is 1.
Thus, LCM of Fractions is 76224.Finally, LCM of Fractions for 64/101, 1191/2661 is 76224.