Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7188/764, 7238/930 quickly i.e. 13006686 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7188/764, 7238/930 is 13006686.
LCM(7188/764, 7238/930) = 13006686
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7188/764,7238/930
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 7188,7238
Least Common Multiple of Numerators i.e. LCM of 7188,7238 is 26013372.
GCF of Denominators means GCF of 764,930 as per the given fractions.
GCF of 764,930 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7188,7238
2 | 7188, 7238 |
3594, 3619 |
∴ So the LCM of the given numbers is 2 x 3594 x 3619 = 26013372
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 7188,7238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7188,7238) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7188,7238) x common factors =2 x 1 = 2
LCM(7188,7238) = ( 7188 × 7238 ) / 2
LCM(7188,7238) = 52026744 / 2
LCM(7188,7238) = 26013372
Lets's calculate GCF of 764,930
2 | 764, 930 |
382, 465 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26013372/2
Therefore the LCM of Fractions 7188/764,7238/930 is 13006686
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Greatest Common Factor
We found the factors 764,930 . The biggest common factor number is the GCF number.
So the greatest common factor 764,930 is 2.
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 7188/764, 7238/930?
Answer: LCM of Numerators as per given numbers 7188/764, 7238/930 is
LCM of Numerators i.e. for 7188,7238 is 26013372
GCF of denominators i.e. for 764,930 is 2.
Thus, LCM of Fractions is 13006686.Finally, LCM of Fractions for 7188/764, 7238/930 is 13006686.