Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/267, 600/305, 887/549 quickly i.e. 48430200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/267, 600/305, 887/549 is 48430200.
LCM(91/267, 600/305, 887/549) = 48430200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/267,600/305,887/549
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 91,600,887
Least Common Multiple of Numerators i.e. LCM of 91,600,887 is 48430200.
GCF of Denominators means GCF of 267,305,549 as per the given fractions.
GCF of 267,305,549 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,600,887
Given numbers has no common factors except 1. So, there LCM is their product i.e 48430200
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 91,600,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,600,887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,600,887) x common factors =1 x 1 = 1
LCM(91,600,887) = ( 91 × 600 × 887 ) / 1
LCM(91,600,887) = 48430200 / 1
LCM(91,600,887) = 48430200
Lets's calculate GCF of 267,305,549
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48430200/1
Therefore the LCM of Fractions 91/267,600/305,887/549 is 48430200
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Greatest Common Factor
We found the factors 267,305,549 . The biggest common factor number is the GCF number.
So the greatest common factor 267,305,549 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 91/267, 600/305, 887/549?
Answer: LCM of Numerators as per given numbers 91/267, 600/305, 887/549 is
LCM of Numerators i.e. for 91,600,887 is 48430200
GCF of denominators i.e. for 267,305,549 is 1.
Thus, LCM of Fractions is 48430200.Finally, LCM of Fractions for 91/267, 600/305, 887/549 is 48430200.