Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7807/238, 7428/426 quickly i.e. 28995198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7807/238, 7428/426 is 28995198.
LCM(7807/238, 7428/426) = 28995198
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7807/238,7428/426
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 7807,7428
Least Common Multiple of Numerators i.e. LCM of 7807,7428 is 57990396.
GCF of Denominators means GCF of 238,426 as per the given fractions.
GCF of 238,426 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7807,7428
Given numbers has no common factors except 1. So, there LCM is their product i.e 57990396
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 7807,7428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7807,7428) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7807,7428) x common factors =1 x 1 = 1
LCM(7807,7428) = ( 7807 × 7428 ) / 1
LCM(7807,7428) = 57990396 / 1
LCM(7807,7428) = 57990396
Lets's calculate GCF of 238,426
2 | 238, 426 |
119, 213 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57990396/2
Therefore the LCM of Fractions 7807/238,7428/426 is 28995198
Factors of 238
List of positive integer factors of 238 that divides 238 without a remainder.
1,2,7,14,17,34,119,238
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Greatest Common Factor
We found the factors 238,426 . The biggest common factor number is the GCF number.
So the greatest common factor 238,426 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 7807/238, 7428/426?
Answer: LCM of Numerators as per given numbers 7807/238, 7428/426 is
LCM of Numerators i.e. for 7807,7428 is 57990396
GCF of denominators i.e. for 238,426 is 2.
Thus, LCM of Fractions is 28995198.Finally, LCM of Fractions for 7807/238, 7428/426 is 28995198.