Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 733/77, 863/73, 215/652 quickly i.e. 136004485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 733/77, 863/73, 215/652 is 136004485.
LCM(733/77, 863/73, 215/652) = 136004485
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 733/77,863/73,215/652
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 733,863,215
Least Common Multiple of Numerators i.e. LCM of 733,863,215 is 136004485.
GCF of Denominators means GCF of 77,73,652 as per the given fractions.
GCF of 77,73,652 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 733,863,215
Given numbers has no common factors except 1. So, there LCM is their product i.e 136004485
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 733,863,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,863,215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,863,215) x common factors =1 x 1 = 1
LCM(733,863,215) = ( 733 × 863 × 215 ) / 1
LCM(733,863,215) = 136004485 / 1
LCM(733,863,215) = 136004485
Lets's calculate GCF of 77,73,652
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136004485/1
Therefore the LCM of Fractions 733/77,863/73,215/652 is 136004485
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Greatest Common Factor
We found the factors 77,73,652 . The biggest common factor number is the GCF number.
So the greatest common factor 77,73,652 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 733/77, 863/73, 215/652?
Answer: LCM of Numerators as per given numbers 733/77, 863/73, 215/652 is
LCM of Numerators i.e. for 733,863,215 is 136004485
GCF of denominators i.e. for 77,73,652 is 1.
Thus, LCM of Fractions is 136004485.Finally, LCM of Fractions for 733/77, 863/73, 215/652 is 136004485.