Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 378/40, 319/771 quickly i.e. 120582 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 378/40, 319/771 is 120582.
LCM(378/40, 319/771) = 120582
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 378/40,319/771
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 378,319
Least Common Multiple of Numerators i.e. LCM of 378,319 is 120582.
GCF of Denominators means GCF of 40,771 as per the given fractions.
GCF of 40,771 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 378,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 120582
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 378,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(378,319) x common factors =1 x 1 = 1
LCM(378,319) = ( 378 × 319 ) / 1
LCM(378,319) = 120582 / 1
LCM(378,319) = 120582
Lets's calculate GCF of 40,771
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120582/1
Therefore the LCM of Fractions 378/40,319/771 is 120582
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Greatest Common Factor
We found the factors 40,771 . The biggest common factor number is the GCF number.
So the greatest common factor 40,771 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 378/40, 319/771?
Answer: LCM of Numerators as per given numbers 378/40, 319/771 is
LCM of Numerators i.e. for 378,319 is 120582
GCF of denominators i.e. for 40,771 is 1.
Thus, LCM of Fractions is 120582.Finally, LCM of Fractions for 378/40, 319/771 is 120582.