Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 288/32, 659/4261 quickly i.e. 189792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 288/32, 659/4261 is 189792.
LCM(288/32, 659/4261) = 189792
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 288/32,659/4261
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 288,659
Least Common Multiple of Numerators i.e. LCM of 288,659 is 189792.
GCF of Denominators means GCF of 32,4261 as per the given fractions.
GCF of 32,4261 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 288,659
Given numbers has no common factors except 1. So, there LCM is their product i.e 189792
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 288,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,659) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(288,659) x common factors =1 x 1 = 1
LCM(288,659) = ( 288 × 659 ) / 1
LCM(288,659) = 189792 / 1
LCM(288,659) = 189792
Lets's calculate GCF of 32,4261
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189792/1
Therefore the LCM of Fractions 288/32,659/4261 is 189792
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 4261
List of positive integer factors of 4261 that divides 4261 without a remainder.
1,4261
Greatest Common Factor
We found the factors 32,4261 . The biggest common factor number is the GCF number.
So the greatest common factor 32,4261 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 288/32, 659/4261?
Answer: LCM of Numerators as per given numbers 288/32, 659/4261 is
LCM of Numerators i.e. for 288,659 is 189792
GCF of denominators i.e. for 32,4261 is 1.
Thus, LCM of Fractions is 189792.Finally, LCM of Fractions for 288/32, 659/4261 is 189792.