Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/246, 4534/6215 quickly i.e. 367254 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/246, 4534/6215 is 367254.
LCM(81/246, 4534/6215) = 367254
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/246,4534/6215
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 81,4534
Least Common Multiple of Numerators i.e. LCM of 81,4534 is 367254.
GCF of Denominators means GCF of 246,6215 as per the given fractions.
GCF of 246,6215 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,4534
Given numbers has no common factors except 1. So, there LCM is their product i.e 367254
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 81,4534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,4534) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,4534) x common factors =1 x 1 = 1
LCM(81,4534) = ( 81 × 4534 ) / 1
LCM(81,4534) = 367254 / 1
LCM(81,4534) = 367254
Lets's calculate GCF of 246,6215
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 367254/1
Therefore the LCM of Fractions 81/246,4534/6215 is 367254
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Factors of 6215
List of positive integer factors of 6215 that divides 6215 without a remainder.
1,5,11,55,113,565,1243,6215
Greatest Common Factor
We found the factors 246,6215 . The biggest common factor number is the GCF number.
So the greatest common factor 246,6215 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 81/246, 4534/6215?
Answer: LCM of Numerators as per given numbers 81/246, 4534/6215 is
LCM of Numerators i.e. for 81,4534 is 367254
GCF of denominators i.e. for 246,6215 is 1.
Thus, LCM of Fractions is 367254.Finally, LCM of Fractions for 81/246, 4534/6215 is 367254.