Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9995/924, 8731/2371 quickly i.e. 87266345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9995/924, 8731/2371 is 87266345.
LCM(9995/924, 8731/2371) = 87266345
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9995/924,8731/2371
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 9995,8731
Least Common Multiple of Numerators i.e. LCM of 9995,8731 is 87266345.
GCF of Denominators means GCF of 924,2371 as per the given fractions.
GCF of 924,2371 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9995,8731
Given numbers has no common factors except 1. So, there LCM is their product i.e 87266345
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 9995,8731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9995,8731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9995,8731) x common factors =1 x 1 = 1
LCM(9995,8731) = ( 9995 × 8731 ) / 1
LCM(9995,8731) = 87266345 / 1
LCM(9995,8731) = 87266345
Lets's calculate GCF of 924,2371
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87266345/1
Therefore the LCM of Fractions 9995/924,8731/2371 is 87266345
Factors of 924
List of positive integer factors of 924 that divides 924 without a remainder.
1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Factors of 2371
List of positive integer factors of 2371 that divides 2371 without a remainder.
1,2371
Greatest Common Factor
We found the factors 924,2371 . The biggest common factor number is the GCF number.
So the greatest common factor 924,2371 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 9995/924, 8731/2371?
Answer: LCM of Numerators as per given numbers 9995/924, 8731/2371 is
LCM of Numerators i.e. for 9995,8731 is 87266345
GCF of denominators i.e. for 924,2371 is 1.
Thus, LCM of Fractions is 87266345.Finally, LCM of Fractions for 9995/924, 8731/2371 is 87266345.