Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9104/731, 6395/5936 quickly i.e. 58220080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9104/731, 6395/5936 is 58220080.
LCM(9104/731, 6395/5936) = 58220080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9104/731,6395/5936
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 9104,6395
Least Common Multiple of Numerators i.e. LCM of 9104,6395 is 58220080.
GCF of Denominators means GCF of 731,5936 as per the given fractions.
GCF of 731,5936 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9104,6395
Given numbers has no common factors except 1. So, there LCM is their product i.e 58220080
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 9104,6395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9104,6395) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9104,6395) x common factors =1 x 1 = 1
LCM(9104,6395) = ( 9104 × 6395 ) / 1
LCM(9104,6395) = 58220080 / 1
LCM(9104,6395) = 58220080
Lets's calculate GCF of 731,5936
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58220080/1
Therefore the LCM of Fractions 9104/731,6395/5936 is 58220080
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Factors of 5936
List of positive integer factors of 5936 that divides 5936 without a remainder.
1,2,4,7,8,14,16,28,53,56,106,112,212,371,424,742,848,1484,2968,5936
Greatest Common Factor
We found the factors 731,5936 . The biggest common factor number is the GCF number.
So the greatest common factor 731,5936 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 9104/731, 6395/5936?
Answer: LCM of Numerators as per given numbers 9104/731, 6395/5936 is
LCM of Numerators i.e. for 9104,6395 is 58220080
GCF of denominators i.e. for 731,5936 is 1.
Thus, LCM of Fractions is 58220080.Finally, LCM of Fractions for 9104/731, 6395/5936 is 58220080.