Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7004/738, 7226/7619 quickly i.e. 25305452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7004/738, 7226/7619 is 25305452.
LCM(7004/738, 7226/7619) = 25305452
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7004/738,7226/7619
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 7004,7226
Least Common Multiple of Numerators i.e. LCM of 7004,7226 is 25305452.
GCF of Denominators means GCF of 738,7619 as per the given fractions.
GCF of 738,7619 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7004,7226
2 | 7004, 7226 |
3502, 3613 |
∴ So the LCM of the given numbers is 2 x 3502 x 3613 = 25305452
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 7004,7226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7004,7226) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7004,7226) x common factors =2 x 1 = 2
LCM(7004,7226) = ( 7004 × 7226 ) / 2
LCM(7004,7226) = 50610904 / 2
LCM(7004,7226) = 25305452
Lets's calculate GCF of 738,7619
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25305452/1
Therefore the LCM of Fractions 7004/738,7226/7619 is 25305452
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Factors of 7619
List of positive integer factors of 7619 that divides 7619 without a remainder.
1,19,401,7619
Greatest Common Factor
We found the factors 738,7619 . The biggest common factor number is the GCF number.
So the greatest common factor 738,7619 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 7004/738, 7226/7619?
Answer: LCM of Numerators as per given numbers 7004/738, 7226/7619 is
LCM of Numerators i.e. for 7004,7226 is 25305452
GCF of denominators i.e. for 738,7619 is 1.
Thus, LCM of Fractions is 25305452.Finally, LCM of Fractions for 7004/738, 7226/7619 is 25305452.