Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/50, 31/12, 25/27, 73/399 quickly i.e. 4186550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/50, 31/12, 25/27, 73/399 is 4186550.
LCM(74/50, 31/12, 25/27, 73/399) = 4186550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/50,31/12,25/27,73/399
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 74,31,25,73
Least Common Multiple of Numerators i.e. LCM of 74,31,25,73 is 4186550.
GCF of Denominators means GCF of 50,12,27,399 as per the given fractions.
GCF of 50,12,27,399 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,31,25,73
Given numbers has no common factors except 1. So, there LCM is their product i.e 4186550
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 74,31,25,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,31,25,73) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,31,25,73) x common factors =1 x 1 = 1
LCM(74,31,25,73) = ( 74 × 31 × 25 × 73 ) / 1
LCM(74,31,25,73) = 4186550 / 1
LCM(74,31,25,73) = 4186550
Lets's calculate GCF of 50,12,27,399
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4186550/1
Therefore the LCM of Fractions 74/50,31/12,25/27,73/399 is 4186550
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Greatest Common Factor
We found the factors 50,12,27,399 . The biggest common factor number is the GCF number.
So the greatest common factor 50,12,27,399 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 74/50, 31/12, 25/27, 73/399?
Answer: LCM of Numerators as per given numbers 74/50, 31/12, 25/27, 73/399 is
LCM of Numerators i.e. for 74,31,25,73 is 4186550
GCF of denominators i.e. for 50,12,27,399 is 1.
Thus, LCM of Fractions is 4186550.Finally, LCM of Fractions for 74/50, 31/12, 25/27, 73/399 is 4186550.