Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9650/181, 9301/9734 quickly i.e. 89754650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9650/181, 9301/9734 is 89754650.
LCM(9650/181, 9301/9734) = 89754650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9650/181,9301/9734
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 9650,9301
Least Common Multiple of Numerators i.e. LCM of 9650,9301 is 89754650.
GCF of Denominators means GCF of 181,9734 as per the given fractions.
GCF of 181,9734 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9650,9301
Given numbers has no common factors except 1. So, there LCM is their product i.e 89754650
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 9650,9301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9650,9301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9650,9301) x common factors =1 x 1 = 1
LCM(9650,9301) = ( 9650 × 9301 ) / 1
LCM(9650,9301) = 89754650 / 1
LCM(9650,9301) = 89754650
Lets's calculate GCF of 181,9734
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89754650/1
Therefore the LCM of Fractions 9650/181,9301/9734 is 89754650
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Factors of 9734
List of positive integer factors of 9734 that divides 9734 without a remainder.
1,2,31,62,157,314,4867,9734
Greatest Common Factor
We found the factors 181,9734 . The biggest common factor number is the GCF number.
So the greatest common factor 181,9734 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 9650/181, 9301/9734?
Answer: LCM of Numerators as per given numbers 9650/181, 9301/9734 is
LCM of Numerators i.e. for 9650,9301 is 89754650
GCF of denominators i.e. for 181,9734 is 1.
Thus, LCM of Fractions is 89754650.Finally, LCM of Fractions for 9650/181, 9301/9734 is 89754650.