Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5955/305, 7973/318 quickly i.e. 47479215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5955/305, 7973/318 is 47479215.
LCM(5955/305, 7973/318) = 47479215
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5955/305,7973/318
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 5955,7973
Least Common Multiple of Numerators i.e. LCM of 5955,7973 is 47479215.
GCF of Denominators means GCF of 305,318 as per the given fractions.
GCF of 305,318 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5955,7973
Given numbers has no common factors except 1. So, there LCM is their product i.e 47479215
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 5955,7973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5955,7973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5955,7973) x common factors =1 x 1 = 1
LCM(5955,7973) = ( 5955 × 7973 ) / 1
LCM(5955,7973) = 47479215 / 1
LCM(5955,7973) = 47479215
Lets's calculate GCF of 305,318
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47479215/1
Therefore the LCM of Fractions 5955/305,7973/318 is 47479215
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 305,318 . The biggest common factor number is the GCF number.
So the greatest common factor 305,318 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 5955/305, 7973/318?
Answer: LCM of Numerators as per given numbers 5955/305, 7973/318 is
LCM of Numerators i.e. for 5955,7973 is 47479215
GCF of denominators i.e. for 305,318 is 1.
Thus, LCM of Fractions is 47479215.Finally, LCM of Fractions for 5955/305, 7973/318 is 47479215.