Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 279/388, 793/479, 242/871 quickly i.e. 53541774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 279/388, 793/479, 242/871 is 53541774.
LCM(279/388, 793/479, 242/871) = 53541774
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 279/388,793/479,242/871
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 279,793,242
Least Common Multiple of Numerators i.e. LCM of 279,793,242 is 53541774.
GCF of Denominators means GCF of 388,479,871 as per the given fractions.
GCF of 388,479,871 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 279,793,242
Given numbers has no common factors except 1. So, there LCM is their product i.e 53541774
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 279,793,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,793,242) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(279,793,242) x common factors =1 x 1 = 1
LCM(279,793,242) = ( 279 × 793 × 242 ) / 1
LCM(279,793,242) = 53541774 / 1
LCM(279,793,242) = 53541774
Lets's calculate GCF of 388,479,871
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53541774/1
Therefore the LCM of Fractions 279/388,793/479,242/871 is 53541774
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Factors of 479
List of positive integer factors of 479 that divides 479 without a remainder.
1,479
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Greatest Common Factor
We found the factors 388,479,871 . The biggest common factor number is the GCF number.
So the greatest common factor 388,479,871 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 279/388, 793/479, 242/871?
Answer: LCM of Numerators as per given numbers 279/388, 793/479, 242/871 is
LCM of Numerators i.e. for 279,793,242 is 53541774
GCF of denominators i.e. for 388,479,871 is 1.
Thus, LCM of Fractions is 53541774.Finally, LCM of Fractions for 279/388, 793/479, 242/871 is 53541774.