Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3695/187, 3572/5195 quickly i.e. 13198540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3695/187, 3572/5195 is 13198540.
LCM(3695/187, 3572/5195) = 13198540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3695/187,3572/5195
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 3695,3572
Least Common Multiple of Numerators i.e. LCM of 3695,3572 is 13198540.
GCF of Denominators means GCF of 187,5195 as per the given fractions.
GCF of 187,5195 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3695,3572
Given numbers has no common factors except 1. So, there LCM is their product i.e 13198540
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 3695,3572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3695,3572) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3695,3572) x common factors =1 x 1 = 1
LCM(3695,3572) = ( 3695 × 3572 ) / 1
LCM(3695,3572) = 13198540 / 1
LCM(3695,3572) = 13198540
Lets's calculate GCF of 187,5195
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13198540/1
Therefore the LCM of Fractions 3695/187,3572/5195 is 13198540
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Factors of 5195
List of positive integer factors of 5195 that divides 5195 without a remainder.
1,5,1039,5195
Greatest Common Factor
We found the factors 187,5195 . The biggest common factor number is the GCF number.
So the greatest common factor 187,5195 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 3695/187, 3572/5195?
Answer: LCM of Numerators as per given numbers 3695/187, 3572/5195 is
LCM of Numerators i.e. for 3695,3572 is 13198540
GCF of denominators i.e. for 187,5195 is 1.
Thus, LCM of Fractions is 13198540.Finally, LCM of Fractions for 3695/187, 3572/5195 is 13198540.