Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9404/374, 8431/3173 quickly i.e. 79285124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9404/374, 8431/3173 is 79285124.
LCM(9404/374, 8431/3173) = 79285124
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9404/374,8431/3173
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 9404,8431
Least Common Multiple of Numerators i.e. LCM of 9404,8431 is 79285124.
GCF of Denominators means GCF of 374,3173 as per the given fractions.
GCF of 374,3173 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9404,8431
Given numbers has no common factors except 1. So, there LCM is their product i.e 79285124
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 9404,8431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9404,8431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9404,8431) x common factors =1 x 1 = 1
LCM(9404,8431) = ( 9404 × 8431 ) / 1
LCM(9404,8431) = 79285124 / 1
LCM(9404,8431) = 79285124
Lets's calculate GCF of 374,3173
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79285124/1
Therefore the LCM of Fractions 9404/374,8431/3173 is 79285124
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Factors of 3173
List of positive integer factors of 3173 that divides 3173 without a remainder.
1,19,167,3173
Greatest Common Factor
We found the factors 374,3173 . The biggest common factor number is the GCF number.
So the greatest common factor 374,3173 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 9404/374, 8431/3173?
Answer: LCM of Numerators as per given numbers 9404/374, 8431/3173 is
LCM of Numerators i.e. for 9404,8431 is 79285124
GCF of denominators i.e. for 374,3173 is 1.
Thus, LCM of Fractions is 79285124.Finally, LCM of Fractions for 9404/374, 8431/3173 is 79285124.