Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 232/21, 809/7689 quickly i.e. 187688/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 232/21, 809/7689 is 187688/3.
LCM(232/21, 809/7689) = 187688/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 232/21,809/7689
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 232,809
Least Common Multiple of Numerators i.e. LCM of 232,809 is 187688.
GCF of Denominators means GCF of 21,7689 as per the given fractions.
GCF of 21,7689 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 232,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 187688
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 232,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(232,809) x common factors =1 x 1 = 1
LCM(232,809) = ( 232 × 809 ) / 1
LCM(232,809) = 187688 / 1
LCM(232,809) = 187688
Lets's calculate GCF of 21,7689
3 | 21, 7689 |
7, 2563 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187688/3
Therefore the LCM of Fractions 232/21,809/7689 is 187688/3
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 7689
List of positive integer factors of 7689 that divides 7689 without a remainder.
1,3,11,33,233,699,2563,7689
Greatest Common Factor
We found the factors 21,7689 . The biggest common factor number is the GCF number.
So the greatest common factor 21,7689 is 3.
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 232/21, 809/7689?
Answer: LCM of Numerators as per given numbers 232/21, 809/7689 is
LCM of Numerators i.e. for 232,809 is 187688
GCF of denominators i.e. for 21,7689 is 3.
Thus, LCM of Fractions is 187688/3.Finally, LCM of Fractions for 232/21, 809/7689 is 187688/3.