Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 741/45, 985/50, 163/847 quickly i.e. 118971255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 741/45, 985/50, 163/847 is 118971255.
LCM(741/45, 985/50, 163/847) = 118971255
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 741/45,985/50,163/847
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 741,985,163
Least Common Multiple of Numerators i.e. LCM of 741,985,163 is 118971255.
GCF of Denominators means GCF of 45,50,847 as per the given fractions.
GCF of 45,50,847 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 741,985,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 118971255
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 741,985,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,985,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(741,985,163) x common factors =1 x 1 = 1
LCM(741,985,163) = ( 741 × 985 × 163 ) / 1
LCM(741,985,163) = 118971255 / 1
LCM(741,985,163) = 118971255
Lets's calculate GCF of 45,50,847
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118971255/1
Therefore the LCM of Fractions 741/45,985/50,163/847 is 118971255
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Greatest Common Factor
We found the factors 45,50,847 . The biggest common factor number is the GCF number.
So the greatest common factor 45,50,847 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 741/45, 985/50, 163/847?
Answer: LCM of Numerators as per given numbers 741/45, 985/50, 163/847 is
LCM of Numerators i.e. for 741,985,163 is 118971255
GCF of denominators i.e. for 45,50,847 is 1.
Thus, LCM of Fractions is 118971255.Finally, LCM of Fractions for 741/45, 985/50, 163/847 is 118971255.