Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/807, 98/909, 921/191 quickly i.e. 7671930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/807, 98/909, 921/191 is 7671930.
LCM(85/807, 98/909, 921/191) = 7671930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/807,98/909,921/191
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 85,98,921
Least Common Multiple of Numerators i.e. LCM of 85,98,921 is 7671930.
GCF of Denominators means GCF of 807,909,191 as per the given fractions.
GCF of 807,909,191 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,98,921
Given numbers has no common factors except 1. So, there LCM is their product i.e 7671930
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 85,98,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,98,921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,98,921) x common factors =1 x 1 = 1
LCM(85,98,921) = ( 85 × 98 × 921 ) / 1
LCM(85,98,921) = 7671930 / 1
LCM(85,98,921) = 7671930
Lets's calculate GCF of 807,909,191
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7671930/1
Therefore the LCM of Fractions 85/807,98/909,921/191 is 7671930
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Factors of 191
List of positive integer factors of 191 that divides 191 without a remainder.
1,191
Greatest Common Factor
We found the factors 807,909,191 . The biggest common factor number is the GCF number.
So the greatest common factor 807,909,191 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 85/807, 98/909, 921/191?
Answer: LCM of Numerators as per given numbers 85/807, 98/909, 921/191 is
LCM of Numerators i.e. for 85,98,921 is 7671930
GCF of denominators i.e. for 807,909,191 is 1.
Thus, LCM of Fractions is 7671930.Finally, LCM of Fractions for 85/807, 98/909, 921/191 is 7671930.