Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3854/892, 1181/8373 quickly i.e. 4551574 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3854/892, 1181/8373 is 4551574.
LCM(3854/892, 1181/8373) = 4551574
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3854/892,1181/8373
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 3854,1181
Least Common Multiple of Numerators i.e. LCM of 3854,1181 is 4551574.
GCF of Denominators means GCF of 892,8373 as per the given fractions.
GCF of 892,8373 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3854,1181
Given numbers has no common factors except 1. So, there LCM is their product i.e 4551574
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 3854,1181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3854,1181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3854,1181) x common factors =1 x 1 = 1
LCM(3854,1181) = ( 3854 × 1181 ) / 1
LCM(3854,1181) = 4551574 / 1
LCM(3854,1181) = 4551574
Lets's calculate GCF of 892,8373
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4551574/1
Therefore the LCM of Fractions 3854/892,1181/8373 is 4551574
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Factors of 8373
List of positive integer factors of 8373 that divides 8373 without a remainder.
1,3,2791,8373
Greatest Common Factor
We found the factors 892,8373 . The biggest common factor number is the GCF number.
So the greatest common factor 892,8373 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 3854/892, 1181/8373?
Answer: LCM of Numerators as per given numbers 3854/892, 1181/8373 is
LCM of Numerators i.e. for 3854,1181 is 4551574
GCF of denominators i.e. for 892,8373 is 1.
Thus, LCM of Fractions is 4551574.Finally, LCM of Fractions for 3854/892, 1181/8373 is 4551574.