Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9257/181, 8010/426 quickly i.e. 74148570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9257/181, 8010/426 is 74148570.
LCM(9257/181, 8010/426) = 74148570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9257/181,8010/426
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 9257,8010
Least Common Multiple of Numerators i.e. LCM of 9257,8010 is 74148570.
GCF of Denominators means GCF of 181,426 as per the given fractions.
GCF of 181,426 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9257,8010
Given numbers has no common factors except 1. So, there LCM is their product i.e 74148570
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 9257,8010 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9257,8010) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9257,8010) x common factors =1 x 1 = 1
LCM(9257,8010) = ( 9257 × 8010 ) / 1
LCM(9257,8010) = 74148570 / 1
LCM(9257,8010) = 74148570
Lets's calculate GCF of 181,426
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74148570/1
Therefore the LCM of Fractions 9257/181,8010/426 is 74148570
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Greatest Common Factor
We found the factors 181,426 . The biggest common factor number is the GCF number.
So the greatest common factor 181,426 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 9257/181, 8010/426?
Answer: LCM of Numerators as per given numbers 9257/181, 8010/426 is
LCM of Numerators i.e. for 9257,8010 is 74148570
GCF of denominators i.e. for 181,426 is 1.
Thus, LCM of Fractions is 74148570.Finally, LCM of Fractions for 9257/181, 8010/426 is 74148570.