Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1303/374, 3780/2089 quickly i.e. 4925340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1303/374, 3780/2089 is 4925340.
LCM(1303/374, 3780/2089) = 4925340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1303/374,3780/2089
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 1303,3780
Least Common Multiple of Numerators i.e. LCM of 1303,3780 is 4925340.
GCF of Denominators means GCF of 374,2089 as per the given fractions.
GCF of 374,2089 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1303,3780
Given numbers has no common factors except 1. So, there LCM is their product i.e 4925340
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 1303,3780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1303,3780) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1303,3780) x common factors =1 x 1 = 1
LCM(1303,3780) = ( 1303 × 3780 ) / 1
LCM(1303,3780) = 4925340 / 1
LCM(1303,3780) = 4925340
Lets's calculate GCF of 374,2089
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4925340/1
Therefore the LCM of Fractions 1303/374,3780/2089 is 4925340
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 2089
List of positive integer factors of 2089 that divides 2089 without a remainder.
1,2089
Greatest Common Factor
We found the factors 374,2089 . The biggest common factor number is the GCF number.
So the greatest common factor 374,2089 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 1303/374, 3780/2089?
Answer: LCM of Numerators as per given numbers 1303/374, 3780/2089 is
LCM of Numerators i.e. for 1303,3780 is 4925340
GCF of denominators i.e. for 374,2089 is 1.
Thus, LCM of Fractions is 4925340.Finally, LCM of Fractions for 1303/374, 3780/2089 is 4925340.