Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 307/98, 584/35, 905/866 quickly i.e. 162255640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 307/98, 584/35, 905/866 is 162255640.
LCM(307/98, 584/35, 905/866) = 162255640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 307/98,584/35,905/866
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 307,584,905
Least Common Multiple of Numerators i.e. LCM of 307,584,905 is 162255640.
GCF of Denominators means GCF of 98,35,866 as per the given fractions.
GCF of 98,35,866 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 307,584,905
Given numbers has no common factors except 1. So, there LCM is their product i.e 162255640
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 307,584,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,584,905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,584,905) x common factors =1 x 1 = 1
LCM(307,584,905) = ( 307 × 584 × 905 ) / 1
LCM(307,584,905) = 162255640 / 1
LCM(307,584,905) = 162255640
Lets's calculate GCF of 98,35,866
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162255640/1
Therefore the LCM of Fractions 307/98,584/35,905/866 is 162255640
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Greatest Common Factor
We found the factors 98,35,866 . The biggest common factor number is the GCF number.
So the greatest common factor 98,35,866 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 307/98, 584/35, 905/866?
Answer: LCM of Numerators as per given numbers 307/98, 584/35, 905/866 is
LCM of Numerators i.e. for 307,584,905 is 162255640
GCF of denominators i.e. for 98,35,866 is 1.
Thus, LCM of Fractions is 162255640.Finally, LCM of Fractions for 307/98, 584/35, 905/866 is 162255640.