Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/29, 202/67, 539/122 quickly i.e. 8819118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/29, 202/67, 539/122 is 8819118.
LCM(81/29, 202/67, 539/122) = 8819118
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/29,202/67,539/122
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 81,202,539
Least Common Multiple of Numerators i.e. LCM of 81,202,539 is 8819118.
GCF of Denominators means GCF of 29,67,122 as per the given fractions.
GCF of 29,67,122 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,202,539
Given numbers has no common factors except 1. So, there LCM is their product i.e 8819118
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 81,202,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,202,539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,202,539) x common factors =1 x 1 = 1
LCM(81,202,539) = ( 81 × 202 × 539 ) / 1
LCM(81,202,539) = 8819118 / 1
LCM(81,202,539) = 8819118
Lets's calculate GCF of 29,67,122
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8819118/1
Therefore the LCM of Fractions 81/29,202/67,539/122 is 8819118
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Greatest Common Factor
We found the factors 29,67,122 . The biggest common factor number is the GCF number.
So the greatest common factor 29,67,122 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 81/29, 202/67, 539/122?
Answer: LCM of Numerators as per given numbers 81/29, 202/67, 539/122 is
LCM of Numerators i.e. for 81,202,539 is 8819118
GCF of denominators i.e. for 29,67,122 is 1.
Thus, LCM of Fractions is 8819118.Finally, LCM of Fractions for 81/29, 202/67, 539/122 is 8819118.