Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/94, 809/81, 573/716 quickly i.e. 35230332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/94, 809/81, 573/716 is 35230332.
LCM(76/94, 809/81, 573/716) = 35230332
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/94,809/81,573/716
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 76,809,573
Least Common Multiple of Numerators i.e. LCM of 76,809,573 is 35230332.
GCF of Denominators means GCF of 94,81,716 as per the given fractions.
GCF of 94,81,716 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,809,573
Given numbers has no common factors except 1. So, there LCM is their product i.e 35230332
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 76,809,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,809,573) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,809,573) x common factors =1 x 1 = 1
LCM(76,809,573) = ( 76 × 809 × 573 ) / 1
LCM(76,809,573) = 35230332 / 1
LCM(76,809,573) = 35230332
Lets's calculate GCF of 94,81,716
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35230332/1
Therefore the LCM of Fractions 76/94,809/81,573/716 is 35230332
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Greatest Common Factor
We found the factors 94,81,716 . The biggest common factor number is the GCF number.
So the greatest common factor 94,81,716 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 76/94, 809/81, 573/716?
Answer: LCM of Numerators as per given numbers 76/94, 809/81, 573/716 is
LCM of Numerators i.e. for 76,809,573 is 35230332
GCF of denominators i.e. for 94,81,716 is 1.
Thus, LCM of Fractions is 35230332.Finally, LCM of Fractions for 76/94, 809/81, 573/716 is 35230332.