Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/96, 95/76, 739/961 quickly i.e. 2176355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/96, 95/76, 739/961 is 2176355.
LCM(31/96, 95/76, 739/961) = 2176355
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/96,95/76,739/961
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 31,95,739
Least Common Multiple of Numerators i.e. LCM of 31,95,739 is 2176355.
GCF of Denominators means GCF of 96,76,961 as per the given fractions.
GCF of 96,76,961 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,95,739
Given numbers has no common factors except 1. So, there LCM is their product i.e 2176355
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 31,95,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,95,739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,95,739) x common factors =1 x 1 = 1
LCM(31,95,739) = ( 31 × 95 × 739 ) / 1
LCM(31,95,739) = 2176355 / 1
LCM(31,95,739) = 2176355
Lets's calculate GCF of 96,76,961
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2176355/1
Therefore the LCM of Fractions 31/96,95/76,739/961 is 2176355
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 961
List of positive integer factors of 961 that divides 961 without a remainder.
1,31,961
Greatest Common Factor
We found the factors 96,76,961 . The biggest common factor number is the GCF number.
So the greatest common factor 96,76,961 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 31/96, 95/76, 739/961?
Answer: LCM of Numerators as per given numbers 31/96, 95/76, 739/961 is
LCM of Numerators i.e. for 31,95,739 is 2176355
GCF of denominators i.e. for 96,76,961 is 1.
Thus, LCM of Fractions is 2176355.Finally, LCM of Fractions for 31/96, 95/76, 739/961 is 2176355.