Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/399, 3756/7703 quickly i.e. 93900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/399, 3756/7703 is 93900.
LCM(50/399, 3756/7703) = 93900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/399,3756/7703
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 50,3756
Least Common Multiple of Numerators i.e. LCM of 50,3756 is 93900.
GCF of Denominators means GCF of 399,7703 as per the given fractions.
GCF of 399,7703 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,3756
2 | 50, 3756 |
25, 1878 |
∴ So the LCM of the given numbers is 2 x 25 x 1878 = 93900
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 50,3756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,3756) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(50,3756) x common factors =2 x 1 = 2
LCM(50,3756) = ( 50 × 3756 ) / 2
LCM(50,3756) = 187800 / 2
LCM(50,3756) = 93900
Lets's calculate GCF of 399,7703
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93900/1
Therefore the LCM of Fractions 50/399,3756/7703 is 93900
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 7703
List of positive integer factors of 7703 that divides 7703 without a remainder.
1,7703
Greatest Common Factor
We found the factors 399,7703 . The biggest common factor number is the GCF number.
So the greatest common factor 399,7703 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 50/399, 3756/7703?
Answer: LCM of Numerators as per given numbers 50/399, 3756/7703 is
LCM of Numerators i.e. for 50,3756 is 93900
GCF of denominators i.e. for 399,7703 is 1.
Thus, LCM of Fractions is 93900.Finally, LCM of Fractions for 50/399, 3756/7703 is 93900.