Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7635/395, 5296/3944 quickly i.e. 40434960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7635/395, 5296/3944 is 40434960.
LCM(7635/395, 5296/3944) = 40434960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7635/395,5296/3944
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 7635,5296
Least Common Multiple of Numerators i.e. LCM of 7635,5296 is 40434960.
GCF of Denominators means GCF of 395,3944 as per the given fractions.
GCF of 395,3944 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7635,5296
Given numbers has no common factors except 1. So, there LCM is their product i.e 40434960
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 7635,5296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7635,5296) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7635,5296) x common factors =1 x 1 = 1
LCM(7635,5296) = ( 7635 × 5296 ) / 1
LCM(7635,5296) = 40434960 / 1
LCM(7635,5296) = 40434960
Lets's calculate GCF of 395,3944
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40434960/1
Therefore the LCM of Fractions 7635/395,5296/3944 is 40434960
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Factors of 3944
List of positive integer factors of 3944 that divides 3944 without a remainder.
1,2,4,8,17,29,34,58,68,116,136,232,493,986,1972,3944
Greatest Common Factor
We found the factors 395,3944 . The biggest common factor number is the GCF number.
So the greatest common factor 395,3944 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 7635/395, 5296/3944?
Answer: LCM of Numerators as per given numbers 7635/395, 5296/3944 is
LCM of Numerators i.e. for 7635,5296 is 40434960
GCF of denominators i.e. for 395,3944 is 1.
Thus, LCM of Fractions is 40434960.Finally, LCM of Fractions for 7635/395, 5296/3944 is 40434960.