Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7394/374, 3740/2568 quickly i.e. 6913390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7394/374, 3740/2568 is 6913390.
LCM(7394/374, 3740/2568) = 6913390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7394/374,3740/2568
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 7394,3740
Least Common Multiple of Numerators i.e. LCM of 7394,3740 is 13826780.
GCF of Denominators means GCF of 374,2568 as per the given fractions.
GCF of 374,2568 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7394,3740
2 | 7394, 3740 |
3697, 1870 |
∴ So the LCM of the given numbers is 2 x 3697 x 1870 = 13826780
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 7394,3740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7394,3740) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7394,3740) x common factors =2 x 1 = 2
LCM(7394,3740) = ( 7394 × 3740 ) / 2
LCM(7394,3740) = 27653560 / 2
LCM(7394,3740) = 13826780
Lets's calculate GCF of 374,2568
2 | 374, 2568 |
187, 1284 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13826780/2
Therefore the LCM of Fractions 7394/374,3740/2568 is 6913390
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Factors of 2568
List of positive integer factors of 2568 that divides 2568 without a remainder.
1,2,3,4,6,8,12,24,107,214,321,428,642,856,1284,2568
Greatest Common Factor
We found the factors 374,2568 . The biggest common factor number is the GCF number.
So the greatest common factor 374,2568 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 7394/374, 3740/2568?
Answer: LCM of Numerators as per given numbers 7394/374, 3740/2568 is
LCM of Numerators i.e. for 7394,3740 is 13826780
GCF of denominators i.e. for 374,2568 is 2.
Thus, LCM of Fractions is 6913390.Finally, LCM of Fractions for 7394/374, 3740/2568 is 6913390.