Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3869/794, 3592/7567 quickly i.e. 13897448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3869/794, 3592/7567 is 13897448.
LCM(3869/794, 3592/7567) = 13897448
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3869/794,3592/7567
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 3869,3592
Least Common Multiple of Numerators i.e. LCM of 3869,3592 is 13897448.
GCF of Denominators means GCF of 794,7567 as per the given fractions.
GCF of 794,7567 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3869,3592
Given numbers has no common factors except 1. So, there LCM is their product i.e 13897448
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 3869,3592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3869,3592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3869,3592) x common factors =1 x 1 = 1
LCM(3869,3592) = ( 3869 × 3592 ) / 1
LCM(3869,3592) = 13897448 / 1
LCM(3869,3592) = 13897448
Lets's calculate GCF of 794,7567
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13897448/1
Therefore the LCM of Fractions 3869/794,3592/7567 is 13897448
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 7567
List of positive integer factors of 7567 that divides 7567 without a remainder.
1,7,23,47,161,329,1081,7567
Greatest Common Factor
We found the factors 794,7567 . The biggest common factor number is the GCF number.
So the greatest common factor 794,7567 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 3869/794, 3592/7567?
Answer: LCM of Numerators as per given numbers 3869/794, 3592/7567 is
LCM of Numerators i.e. for 3869,3592 is 13897448
GCF of denominators i.e. for 794,7567 is 1.
Thus, LCM of Fractions is 13897448.Finally, LCM of Fractions for 3869/794, 3592/7567 is 13897448.