Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/119, 41/982, 809/177 quickly i.e. 2487675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/119, 41/982, 809/177 is 2487675.
LCM(75/119, 41/982, 809/177) = 2487675
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/119,41/982,809/177
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 75,41,809
Least Common Multiple of Numerators i.e. LCM of 75,41,809 is 2487675.
GCF of Denominators means GCF of 119,982,177 as per the given fractions.
GCF of 119,982,177 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,41,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 2487675
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 75,41,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,41,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,41,809) x common factors =1 x 1 = 1
LCM(75,41,809) = ( 75 × 41 × 809 ) / 1
LCM(75,41,809) = 2487675 / 1
LCM(75,41,809) = 2487675
Lets's calculate GCF of 119,982,177
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2487675/1
Therefore the LCM of Fractions 75/119,41/982,809/177 is 2487675
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Greatest Common Factor
We found the factors 119,982,177 . The biggest common factor number is the GCF number.
So the greatest common factor 119,982,177 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 75/119, 41/982, 809/177?
Answer: LCM of Numerators as per given numbers 75/119, 41/982, 809/177 is
LCM of Numerators i.e. for 75,41,809 is 2487675
GCF of denominators i.e. for 119,982,177 is 1.
Thus, LCM of Fractions is 2487675.Finally, LCM of Fractions for 75/119, 41/982, 809/177 is 2487675.