Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/21, 116/85, 535/189 quickly i.e. 2544460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/21, 116/85, 535/189 is 2544460.
LCM(41/21, 116/85, 535/189) = 2544460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/21,116/85,535/189
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 41,116,535
Least Common Multiple of Numerators i.e. LCM of 41,116,535 is 2544460.
GCF of Denominators means GCF of 21,85,189 as per the given fractions.
GCF of 21,85,189 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,116,535
Given numbers has no common factors except 1. So, there LCM is their product i.e 2544460
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 41,116,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,116,535) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,116,535) x common factors =1 x 1 = 1
LCM(41,116,535) = ( 41 × 116 × 535 ) / 1
LCM(41,116,535) = 2544460 / 1
LCM(41,116,535) = 2544460
Lets's calculate GCF of 21,85,189
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2544460/1
Therefore the LCM of Fractions 41/21,116/85,535/189 is 2544460
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 189
List of positive integer factors of 189 that divides 189 without a remainder.
1,3,7,9,21,27,63,189
Greatest Common Factor
We found the factors 21,85,189 . The biggest common factor number is the GCF number.
So the greatest common factor 21,85,189 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 41/21, 116/85, 535/189?
Answer: LCM of Numerators as per given numbers 41/21, 116/85, 535/189 is
LCM of Numerators i.e. for 41,116,535 is 2544460
GCF of denominators i.e. for 21,85,189 is 1.
Thus, LCM of Fractions is 2544460.Finally, LCM of Fractions for 41/21, 116/85, 535/189 is 2544460.