Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3727/163, 2535/6999 quickly i.e. 9447945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3727/163, 2535/6999 is 9447945.
LCM(3727/163, 2535/6999) = 9447945
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3727/163,2535/6999
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 3727,2535
Least Common Multiple of Numerators i.e. LCM of 3727,2535 is 9447945.
GCF of Denominators means GCF of 163,6999 as per the given fractions.
GCF of 163,6999 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3727,2535
Given numbers has no common factors except 1. So, there LCM is their product i.e 9447945
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 3727,2535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3727,2535) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3727,2535) x common factors =1 x 1 = 1
LCM(3727,2535) = ( 3727 × 2535 ) / 1
LCM(3727,2535) = 9447945 / 1
LCM(3727,2535) = 9447945
Lets's calculate GCF of 163,6999
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9447945/1
Therefore the LCM of Fractions 3727/163,2535/6999 is 9447945
Factors of 163
List of positive integer factors of 163 that divides 163 without a remainder.
1,163
Factors of 6999
List of positive integer factors of 6999 that divides 6999 without a remainder.
1,3,2333,6999
Greatest Common Factor
We found the factors 163,6999 . The biggest common factor number is the GCF number.
So the greatest common factor 163,6999 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 3727/163, 2535/6999?
Answer: LCM of Numerators as per given numbers 3727/163, 2535/6999 is
LCM of Numerators i.e. for 3727,2535 is 9447945
GCF of denominators i.e. for 163,6999 is 1.
Thus, LCM of Fractions is 9447945.Finally, LCM of Fractions for 3727/163, 2535/6999 is 9447945.