Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 305/119, 4641/444 quickly i.e. 1415505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 305/119, 4641/444 is 1415505.
LCM(305/119, 4641/444) = 1415505
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 305/119,4641/444
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 305,4641
Least Common Multiple of Numerators i.e. LCM of 305,4641 is 1415505.
GCF of Denominators means GCF of 119,444 as per the given fractions.
GCF of 119,444 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 305,4641
Given numbers has no common factors except 1. So, there LCM is their product i.e 1415505
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 305,4641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,4641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,4641) x common factors =1 x 1 = 1
LCM(305,4641) = ( 305 × 4641 ) / 1
LCM(305,4641) = 1415505 / 1
LCM(305,4641) = 1415505
Lets's calculate GCF of 119,444
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1415505/1
Therefore the LCM of Fractions 305/119,4641/444 is 1415505
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 119,444 . The biggest common factor number is the GCF number.
So the greatest common factor 119,444 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 305/119, 4641/444?
Answer: LCM of Numerators as per given numbers 305/119, 4641/444 is
LCM of Numerators i.e. for 305,4641 is 1415505
GCF of denominators i.e. for 119,444 is 1.
Thus, LCM of Fractions is 1415505.Finally, LCM of Fractions for 305/119, 4641/444 is 1415505.