Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/920, 55/631, 739/536 quickly i.e. 1300640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/920, 55/631, 739/536 is 1300640.
LCM(32/920, 55/631, 739/536) = 1300640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/920,55/631,739/536
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 32,55,739
Least Common Multiple of Numerators i.e. LCM of 32,55,739 is 1300640.
GCF of Denominators means GCF of 920,631,536 as per the given fractions.
GCF of 920,631,536 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,55,739
Given numbers has no common factors except 1. So, there LCM is their product i.e 1300640
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 32,55,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,55,739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,55,739) x common factors =1 x 1 = 1
LCM(32,55,739) = ( 32 × 55 × 739 ) / 1
LCM(32,55,739) = 1300640 / 1
LCM(32,55,739) = 1300640
Lets's calculate GCF of 920,631,536
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1300640/1
Therefore the LCM of Fractions 32/920,55/631,739/536 is 1300640
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1,631
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Greatest Common Factor
We found the factors 920,631,536 . The biggest common factor number is the GCF number.
So the greatest common factor 920,631,536 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 32/920, 55/631, 739/536?
Answer: LCM of Numerators as per given numbers 32/920, 55/631, 739/536 is
LCM of Numerators i.e. for 32,55,739 is 1300640
GCF of denominators i.e. for 920,631,536 is 1.
Thus, LCM of Fractions is 1300640.Finally, LCM of Fractions for 32/920, 55/631, 739/536 is 1300640.