Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 194/439, 4531/978 quickly i.e. 879014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 194/439, 4531/978 is 879014.
LCM(194/439, 4531/978) = 879014
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 194/439,4531/978
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 194,4531
Least Common Multiple of Numerators i.e. LCM of 194,4531 is 879014.
GCF of Denominators means GCF of 439,978 as per the given fractions.
GCF of 439,978 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 194,4531
Given numbers has no common factors except 1. So, there LCM is their product i.e 879014
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 194,4531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,4531) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(194,4531) x common factors =1 x 1 = 1
LCM(194,4531) = ( 194 × 4531 ) / 1
LCM(194,4531) = 879014 / 1
LCM(194,4531) = 879014
Lets's calculate GCF of 439,978
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 879014/1
Therefore the LCM of Fractions 194/439,4531/978 is 879014
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Greatest Common Factor
We found the factors 439,978 . The biggest common factor number is the GCF number.
So the greatest common factor 439,978 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 194/439, 4531/978?
Answer: LCM of Numerators as per given numbers 194/439, 4531/978 is
LCM of Numerators i.e. for 194,4531 is 879014
GCF of denominators i.e. for 439,978 is 1.
Thus, LCM of Fractions is 879014.Finally, LCM of Fractions for 194/439, 4531/978 is 879014.