Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/799, 993/903, 274/427 quickly i.e. 1904574 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/799, 993/903, 274/427 is 1904574.
LCM(14/799, 993/903, 274/427) = 1904574
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/799,993/903,274/427
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 14,993,274
Least Common Multiple of Numerators i.e. LCM of 14,993,274 is 1904574.
GCF of Denominators means GCF of 799,903,427 as per the given fractions.
GCF of 799,903,427 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,993,274
2 | 14, 993, 274 |
7, 993, 137 |
∴ So the LCM of the given numbers is 2 x 7 x 993 x 137 = 1904574
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 14,993,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,993,274) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(14,993,274) x common factors =1 x 2 = 2
LCM(14,993,274) = ( 14 × 993 × 274 ) / 2
LCM(14,993,274) = 3809148 / 2
LCM(14,993,274) = 1904574
Lets's calculate GCF of 799,903,427
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1904574/1
Therefore the LCM of Fractions 14/799,993/903,274/427 is 1904574
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1,7,61,427
Greatest Common Factor
We found the factors 799,903,427 . The biggest common factor number is the GCF number.
So the greatest common factor 799,903,427 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 14/799, 993/903, 274/427?
Answer: LCM of Numerators as per given numbers 14/799, 993/903, 274/427 is
LCM of Numerators i.e. for 14,993,274 is 1904574
GCF of denominators i.e. for 799,903,427 is 1.
Thus, LCM of Fractions is 1904574.Finally, LCM of Fractions for 14/799, 993/903, 274/427 is 1904574.