Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1914/764, 7129/6093 quickly i.e. 13644906 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1914/764, 7129/6093 is 13644906.
LCM(1914/764, 7129/6093) = 13644906
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1914/764,7129/6093
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 1914,7129
Least Common Multiple of Numerators i.e. LCM of 1914,7129 is 13644906.
GCF of Denominators means GCF of 764,6093 as per the given fractions.
GCF of 764,6093 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1914,7129
Given numbers has no common factors except 1. So, there LCM is their product i.e 13644906
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 1914,7129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1914,7129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1914,7129) x common factors =1 x 1 = 1
LCM(1914,7129) = ( 1914 × 7129 ) / 1
LCM(1914,7129) = 13644906 / 1
LCM(1914,7129) = 13644906
Lets's calculate GCF of 764,6093
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13644906/1
Therefore the LCM of Fractions 1914/764,7129/6093 is 13644906
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Factors of 6093
List of positive integer factors of 6093 that divides 6093 without a remainder.
1,3,9,677,2031,6093
Greatest Common Factor
We found the factors 764,6093 . The biggest common factor number is the GCF number.
So the greatest common factor 764,6093 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 1914/764, 7129/6093?
Answer: LCM of Numerators as per given numbers 1914/764, 7129/6093 is
LCM of Numerators i.e. for 1914,7129 is 13644906
GCF of denominators i.e. for 764,6093 is 1.
Thus, LCM of Fractions is 13644906.Finally, LCM of Fractions for 1914/764, 7129/6093 is 13644906.