Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/194, 71/853, 319/993 quickly i.e. 1789271 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/194, 71/853, 319/993 is 1789271.
LCM(79/194, 71/853, 319/993) = 1789271
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/194,71/853,319/993
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 79,71,319
Least Common Multiple of Numerators i.e. LCM of 79,71,319 is 1789271.
GCF of Denominators means GCF of 194,853,993 as per the given fractions.
GCF of 194,853,993 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,71,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 1789271
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 79,71,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,71,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,71,319) x common factors =1 x 1 = 1
LCM(79,71,319) = ( 79 × 71 × 319 ) / 1
LCM(79,71,319) = 1789271 / 1
LCM(79,71,319) = 1789271
Lets's calculate GCF of 194,853,993
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1789271/1
Therefore the LCM of Fractions 79/194,71/853,319/993 is 1789271
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Greatest Common Factor
We found the factors 194,853,993 . The biggest common factor number is the GCF number.
So the greatest common factor 194,853,993 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 79/194, 71/853, 319/993?
Answer: LCM of Numerators as per given numbers 79/194, 71/853, 319/993 is
LCM of Numerators i.e. for 79,71,319 is 1789271
GCF of denominators i.e. for 194,853,993 is 1.
Thus, LCM of Fractions is 1789271.Finally, LCM of Fractions for 79/194, 71/853, 319/993 is 1789271.