Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/95, 88/60, 96/52, 76/842 quickly i.e. 943008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/95, 88/60, 96/52, 76/842 is 943008.
LCM(47/95, 88/60, 96/52, 76/842) = 943008
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/95,88/60,96/52,76/842
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 47,88,96,76
Least Common Multiple of Numerators i.e. LCM of 47,88,96,76 is 943008.
GCF of Denominators means GCF of 95,60,52,842 as per the given fractions.
GCF of 95,60,52,842 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,88,96,76
2 | 47, 88, 96, 76 |
2 | 47, 44, 48, 38 |
2 | 47, 22, 24, 19 |
47, 11, 12, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 47 x 11 x 12 x 19 = 943008
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 47,88,96,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,88,96,76) = 1
common factors(in case of two or more numbers have common factors) = 32
GCF(47,88,96,76) x common factors =1 x 32 = 32
LCM(47,88,96,76) = ( 47 × 88 × 96 × 76 ) / 32
LCM(47,88,96,76) = 30176256 / 32
LCM(47,88,96,76) = 943008
Lets's calculate GCF of 95,60,52,842
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 943008/1
Therefore the LCM of Fractions 47/95,88/60,96/52,76/842 is 943008
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Greatest Common Factor
We found the factors 95,60,52,842 . The biggest common factor number is the GCF number.
So the greatest common factor 95,60,52,842 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 47/95, 88/60, 96/52, 76/842?
Answer: LCM of Numerators as per given numbers 47/95, 88/60, 96/52, 76/842 is
LCM of Numerators i.e. for 47,88,96,76 is 943008
GCF of denominators i.e. for 95,60,52,842 is 1.
Thus, LCM of Fractions is 943008.Finally, LCM of Fractions for 47/95, 88/60, 96/52, 76/842 is 943008.