Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 384/73, 241/79, 995/377 quickly i.e. 92081280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 384/73, 241/79, 995/377 is 92081280.
LCM(384/73, 241/79, 995/377) = 92081280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 384/73,241/79,995/377
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 384,241,995
Least Common Multiple of Numerators i.e. LCM of 384,241,995 is 92081280.
GCF of Denominators means GCF of 73,79,377 as per the given fractions.
GCF of 73,79,377 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 384,241,995
Given numbers has no common factors except 1. So, there LCM is their product i.e 92081280
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 384,241,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,241,995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(384,241,995) x common factors =1 x 1 = 1
LCM(384,241,995) = ( 384 × 241 × 995 ) / 1
LCM(384,241,995) = 92081280 / 1
LCM(384,241,995) = 92081280
Lets's calculate GCF of 73,79,377
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92081280/1
Therefore the LCM of Fractions 384/73,241/79,995/377 is 92081280
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1,13,29,377
Greatest Common Factor
We found the factors 73,79,377 . The biggest common factor number is the GCF number.
So the greatest common factor 73,79,377 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 384/73, 241/79, 995/377?
Answer: LCM of Numerators as per given numbers 384/73, 241/79, 995/377 is
LCM of Numerators i.e. for 384,241,995 is 92081280
GCF of denominators i.e. for 73,79,377 is 1.
Thus, LCM of Fractions is 92081280.Finally, LCM of Fractions for 384/73, 241/79, 995/377 is 92081280.