Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9352/785, 2761/9491 quickly i.e. 25820872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9352/785, 2761/9491 is 25820872.
LCM(9352/785, 2761/9491) = 25820872
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9352/785,2761/9491
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 9352,2761
Least Common Multiple of Numerators i.e. LCM of 9352,2761 is 25820872.
GCF of Denominators means GCF of 785,9491 as per the given fractions.
GCF of 785,9491 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9352,2761
Given numbers has no common factors except 1. So, there LCM is their product i.e 25820872
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 9352,2761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9352,2761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9352,2761) x common factors =1 x 1 = 1
LCM(9352,2761) = ( 9352 × 2761 ) / 1
LCM(9352,2761) = 25820872 / 1
LCM(9352,2761) = 25820872
Lets's calculate GCF of 785,9491
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25820872/1
Therefore the LCM of Fractions 9352/785,2761/9491 is 25820872
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Factors of 9491
List of positive integer factors of 9491 that divides 9491 without a remainder.
1,9491
Greatest Common Factor
We found the factors 785,9491 . The biggest common factor number is the GCF number.
So the greatest common factor 785,9491 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 9352/785, 2761/9491?
Answer: LCM of Numerators as per given numbers 9352/785, 2761/9491 is
LCM of Numerators i.e. for 9352,2761 is 25820872
GCF of denominators i.e. for 785,9491 is 1.
Thus, LCM of Fractions is 25820872.Finally, LCM of Fractions for 9352/785, 2761/9491 is 25820872.