Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/86, 7/93, 85/16, 92/981 quickly i.e. 492660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/86, 7/93, 85/16, 92/981 is 492660.
LCM(9/86, 7/93, 85/16, 92/981) = 492660
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/86,7/93,85/16,92/981
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 9,7,85,92
Least Common Multiple of Numerators i.e. LCM of 9,7,85,92 is 492660.
GCF of Denominators means GCF of 86,93,16,981 as per the given fractions.
GCF of 86,93,16,981 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,7,85,92
Given numbers has no common factors except 1. So, there LCM is their product i.e 492660
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 9,7,85,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,7,85,92) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9,7,85,92) x common factors =1 x 1 = 1
LCM(9,7,85,92) = ( 9 × 7 × 85 × 92 ) / 1
LCM(9,7,85,92) = 492660 / 1
LCM(9,7,85,92) = 492660
Lets's calculate GCF of 86,93,16,981
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 492660/1
Therefore the LCM of Fractions 9/86,7/93,85/16,92/981 is 492660
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Greatest Common Factor
We found the factors 86,93,16,981 . The biggest common factor number is the GCF number.
So the greatest common factor 86,93,16,981 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 9/86, 7/93, 85/16, 92/981?
Answer: LCM of Numerators as per given numbers 9/86, 7/93, 85/16, 92/981 is
LCM of Numerators i.e. for 9,7,85,92 is 492660
GCF of denominators i.e. for 86,93,16,981 is 1.
Thus, LCM of Fractions is 492660.Finally, LCM of Fractions for 9/86, 7/93, 85/16, 92/981 is 492660.