Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 908/81, 7067/335 quickly i.e. 6416836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 908/81, 7067/335 is 6416836.
LCM(908/81, 7067/335) = 6416836
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 908/81,7067/335
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 908,7067
Least Common Multiple of Numerators i.e. LCM of 908,7067 is 6416836.
GCF of Denominators means GCF of 81,335 as per the given fractions.
GCF of 81,335 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 908,7067
Given numbers has no common factors except 1. So, there LCM is their product i.e 6416836
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 908,7067 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,7067) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(908,7067) x common factors =1 x 1 = 1
LCM(908,7067) = ( 908 × 7067 ) / 1
LCM(908,7067) = 6416836 / 1
LCM(908,7067) = 6416836
Lets's calculate GCF of 81,335
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6416836/1
Therefore the LCM of Fractions 908/81,7067/335 is 6416836
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Greatest Common Factor
We found the factors 81,335 . The biggest common factor number is the GCF number.
So the greatest common factor 81,335 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 908/81, 7067/335?
Answer: LCM of Numerators as per given numbers 908/81, 7067/335 is
LCM of Numerators i.e. for 908,7067 is 6416836
GCF of denominators i.e. for 81,335 is 1.
Thus, LCM of Fractions is 6416836.Finally, LCM of Fractions for 908/81, 7067/335 is 6416836.