Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7845/55, 3993/426 quickly i.e. 10441695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7845/55, 3993/426 is 10441695.
LCM(7845/55, 3993/426) = 10441695
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7845/55,3993/426
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 7845,3993
Least Common Multiple of Numerators i.e. LCM of 7845,3993 is 10441695.
GCF of Denominators means GCF of 55,426 as per the given fractions.
GCF of 55,426 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7845,3993
3 | 7845, 3993 |
2615, 1331 |
∴ So the LCM of the given numbers is 3 x 2615 x 1331 = 10441695
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 7845,3993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7845,3993) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(7845,3993) x common factors =3 x 1 = 3
LCM(7845,3993) = ( 7845 × 3993 ) / 3
LCM(7845,3993) = 31325085 / 3
LCM(7845,3993) = 10441695
Lets's calculate GCF of 55,426
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10441695/1
Therefore the LCM of Fractions 7845/55,3993/426 is 10441695
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
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 55,426 . The biggest common factor number is the GCF number.
So the greatest common factor 55,426 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 7845/55, 3993/426?
Answer: LCM of Numerators as per given numbers 7845/55, 3993/426 is
LCM of Numerators i.e. for 7845,3993 is 10441695
GCF of denominators i.e. for 55,426 is 1.
Thus, LCM of Fractions is 10441695.Finally, LCM of Fractions for 7845/55, 3993/426 is 10441695.