Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/32, 25/57, 261/680 quickly i.e. 287100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/32, 25/57, 261/680 is 287100.
LCM(44/32, 25/57, 261/680) = 287100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/32,25/57,261/680
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 44,25,261
Least Common Multiple of Numerators i.e. LCM of 44,25,261 is 287100.
GCF of Denominators means GCF of 32,57,680 as per the given fractions.
GCF of 32,57,680 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,25,261
Given numbers has no common factors except 1. So, there LCM is their product i.e 287100
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 44,25,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,25,261) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,25,261) x common factors =1 x 1 = 1
LCM(44,25,261) = ( 44 × 25 × 261 ) / 1
LCM(44,25,261) = 287100 / 1
LCM(44,25,261) = 287100
Lets's calculate GCF of 32,57,680
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 287100/1
Therefore the LCM of Fractions 44/32,25/57,261/680 is 287100
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors 32,57,680 . The biggest common factor number is the GCF number.
So the greatest common factor 32,57,680 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 44/32, 25/57, 261/680?
Answer: LCM of Numerators as per given numbers 44/32, 25/57, 261/680 is
LCM of Numerators i.e. for 44,25,261 is 287100
GCF of denominators i.e. for 32,57,680 is 1.
Thus, LCM of Fractions is 287100.Finally, LCM of Fractions for 44/32, 25/57, 261/680 is 287100.