Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 659/239, 287/956 quickly i.e. 189133/239 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 659/239, 287/956 is 189133/239.
LCM(659/239, 287/956) = 189133/239
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 659/239,287/956
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 659,287
Least Common Multiple of Numerators i.e. LCM of 659,287 is 189133.
GCF of Denominators means GCF of 239,956 as per the given fractions.
GCF of 239,956 is 239 as it is the largest common factor for these numbers.
Lets's calculate LCM of 659,287
Given numbers has no common factors except 1. So, there LCM is their product i.e 189133
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 659,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,287) x common factors =1 x 1 = 1
LCM(659,287) = ( 659 × 287 ) / 1
LCM(659,287) = 189133 / 1
LCM(659,287) = 189133
Lets's calculate GCF of 239,956
239 | 239, 956 |
1, 4 |
∴ So the GCF of the given numbers is 239 = 239
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189133/239
Therefore the LCM of Fractions 659/239,287/956 is 189133/239
Factors of 239
List of positive integer factors of 239 that divides 239 without a remainder.
1,239
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Greatest Common Factor
We found the factors 239,956 . The biggest common factor number is the GCF number.
So the greatest common factor 239,956 is 239.
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 659/239, 287/956?
Answer: LCM of Numerators as per given numbers 659/239, 287/956 is
LCM of Numerators i.e. for 659,287 is 189133
GCF of denominators i.e. for 239,956 is 239.
Thus, LCM of Fractions is 189133/239.Finally, LCM of Fractions for 659/239, 287/956 is 189133/239.