Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/618, 9100/7535 quickly i.e. 646100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/618, 9100/7535 is 646100.
LCM(71/618, 9100/7535) = 646100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/618,9100/7535
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 71,9100
Least Common Multiple of Numerators i.e. LCM of 71,9100 is 646100.
GCF of Denominators means GCF of 618,7535 as per the given fractions.
GCF of 618,7535 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,9100
Given numbers has no common factors except 1. So, there LCM is their product i.e 646100
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 71,9100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,9100) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,9100) x common factors =1 x 1 = 1
LCM(71,9100) = ( 71 × 9100 ) / 1
LCM(71,9100) = 646100 / 1
LCM(71,9100) = 646100
Lets's calculate GCF of 618,7535
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 646100/1
Therefore the LCM of Fractions 71/618,9100/7535 is 646100
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Factors of 7535
List of positive integer factors of 7535 that divides 7535 without a remainder.
1,5,11,55,137,685,1507,7535
Greatest Common Factor
We found the factors 618,7535 . The biggest common factor number is the GCF number.
So the greatest common factor 618,7535 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 71/618, 9100/7535?
Answer: LCM of Numerators as per given numbers 71/618, 9100/7535 is
LCM of Numerators i.e. for 71,9100 is 646100
GCF of denominators i.e. for 618,7535 is 1.
Thus, LCM of Fractions is 646100.Finally, LCM of Fractions for 71/618, 9100/7535 is 646100.