Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3787/764, 1419/7927 quickly i.e. 5373753 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3787/764, 1419/7927 is 5373753.
LCM(3787/764, 1419/7927) = 5373753
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3787/764,1419/7927
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 3787,1419
Least Common Multiple of Numerators i.e. LCM of 3787,1419 is 5373753.
GCF of Denominators means GCF of 764,7927 as per the given fractions.
GCF of 764,7927 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3787,1419
Given numbers has no common factors except 1. So, there LCM is their product i.e 5373753
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 3787,1419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3787,1419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3787,1419) x common factors =1 x 1 = 1
LCM(3787,1419) = ( 3787 × 1419 ) / 1
LCM(3787,1419) = 5373753 / 1
LCM(3787,1419) = 5373753
Lets's calculate GCF of 764,7927
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5373753/1
Therefore the LCM of Fractions 3787/764,1419/7927 is 5373753
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Factors of 7927
List of positive integer factors of 7927 that divides 7927 without a remainder.
1,7927
Greatest Common Factor
We found the factors 764,7927 . The biggest common factor number is the GCF number.
So the greatest common factor 764,7927 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 3787/764, 1419/7927?
Answer: LCM of Numerators as per given numbers 3787/764, 1419/7927 is
LCM of Numerators i.e. for 3787,1419 is 5373753
GCF of denominators i.e. for 764,7927 is 1.
Thus, LCM of Fractions is 5373753.Finally, LCM of Fractions for 3787/764, 1419/7927 is 5373753.