Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 287/97, 265/3763 quickly i.e. 76055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 287/97, 265/3763 is 76055.
LCM(287/97, 265/3763) = 76055
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 287/97,265/3763
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 287,265
Least Common Multiple of Numerators i.e. LCM of 287,265 is 76055.
GCF of Denominators means GCF of 97,3763 as per the given fractions.
GCF of 97,3763 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 287,265
Given numbers has no common factors except 1. So, there LCM is their product i.e 76055
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 287,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,265) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,265) x common factors =1 x 1 = 1
LCM(287,265) = ( 287 × 265 ) / 1
LCM(287,265) = 76055 / 1
LCM(287,265) = 76055
Lets's calculate GCF of 97,3763
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76055/1
Therefore the LCM of Fractions 287/97,265/3763 is 76055
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 3763
List of positive integer factors of 3763 that divides 3763 without a remainder.
1,53,71,3763
Greatest Common Factor
We found the factors 97,3763 . The biggest common factor number is the GCF number.
So the greatest common factor 97,3763 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 287/97, 265/3763?
Answer: LCM of Numerators as per given numbers 287/97, 265/3763 is
LCM of Numerators i.e. for 287,265 is 76055
GCF of denominators i.e. for 97,3763 is 1.
Thus, LCM of Fractions is 76055.Finally, LCM of Fractions for 287/97, 265/3763 is 76055.