Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 240/295, 181/528 quickly i.e. 43440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 240/295, 181/528 is 43440.
LCM(240/295, 181/528) = 43440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 240/295,181/528
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 240,181
Least Common Multiple of Numerators i.e. LCM of 240,181 is 43440.
GCF of Denominators means GCF of 295,528 as per the given fractions.
GCF of 295,528 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 240,181
Given numbers has no common factors except 1. So, there LCM is their product i.e 43440
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 240,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(240,181) x common factors =1 x 1 = 1
LCM(240,181) = ( 240 × 181 ) / 1
LCM(240,181) = 43440 / 1
LCM(240,181) = 43440
Lets's calculate GCF of 295,528
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43440/1
Therefore the LCM of Fractions 240/295,181/528 is 43440
Factors of 295
List of positive integer factors of 295 that divides 295 without a remainder.
1,5,59,295
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Greatest Common Factor
We found the factors 295,528 . The biggest common factor number is the GCF number.
So the greatest common factor 295,528 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 240/295, 181/528?
Answer: LCM of Numerators as per given numbers 240/295, 181/528 is
LCM of Numerators i.e. for 240,181 is 43440
GCF of denominators i.e. for 295,528 is 1.
Thus, LCM of Fractions is 43440.Finally, LCM of Fractions for 240/295, 181/528 is 43440.