Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 732/27, 523/9722 quickly i.e. 382836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 732/27, 523/9722 is 382836.
LCM(732/27, 523/9722) = 382836
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 732/27,523/9722
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 732,523
Least Common Multiple of Numerators i.e. LCM of 732,523 is 382836.
GCF of Denominators means GCF of 27,9722 as per the given fractions.
GCF of 27,9722 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 732,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 382836
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 732,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(732,523) x common factors =1 x 1 = 1
LCM(732,523) = ( 732 × 523 ) / 1
LCM(732,523) = 382836 / 1
LCM(732,523) = 382836
Lets's calculate GCF of 27,9722
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 382836/1
Therefore the LCM of Fractions 732/27,523/9722 is 382836
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 9722
List of positive integer factors of 9722 that divides 9722 without a remainder.
1,2,4861,9722
Greatest Common Factor
We found the factors 27,9722 . The biggest common factor number is the GCF number.
So the greatest common factor 27,9722 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 732/27, 523/9722?
Answer: LCM of Numerators as per given numbers 732/27, 523/9722 is
LCM of Numerators i.e. for 732,523 is 382836
GCF of denominators i.e. for 27,9722 is 1.
Thus, LCM of Fractions is 382836.Finally, LCM of Fractions for 732/27, 523/9722 is 382836.