Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 267/27, 757/4735 quickly i.e. 202119 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 267/27, 757/4735 is 202119.
LCM(267/27, 757/4735) = 202119
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 267/27,757/4735
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 267,757
Least Common Multiple of Numerators i.e. LCM of 267,757 is 202119.
GCF of Denominators means GCF of 27,4735 as per the given fractions.
GCF of 27,4735 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 267,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 202119
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 267,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(267,757) x common factors =1 x 1 = 1
LCM(267,757) = ( 267 × 757 ) / 1
LCM(267,757) = 202119 / 1
LCM(267,757) = 202119
Lets's calculate GCF of 27,4735
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202119/1
Therefore the LCM of Fractions 267/27,757/4735 is 202119
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 4735
List of positive integer factors of 4735 that divides 4735 without a remainder.
1,5,947,4735
Greatest Common Factor
We found the factors 27,4735 . The biggest common factor number is the GCF number.
So the greatest common factor 27,4735 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 267/27, 757/4735?
Answer: LCM of Numerators as per given numbers 267/27, 757/4735 is
LCM of Numerators i.e. for 267,757 is 202119
GCF of denominators i.e. for 27,4735 is 1.
Thus, LCM of Fractions is 202119.Finally, LCM of Fractions for 267/27, 757/4735 is 202119.