Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4813/362, 9968/5445 quickly i.e. 47975984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4813/362, 9968/5445 is 47975984.
LCM(4813/362, 9968/5445) = 47975984
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4813/362,9968/5445
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 4813,9968
Least Common Multiple of Numerators i.e. LCM of 4813,9968 is 47975984.
GCF of Denominators means GCF of 362,5445 as per the given fractions.
GCF of 362,5445 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4813,9968
Given numbers has no common factors except 1. So, there LCM is their product i.e 47975984
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 4813,9968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4813,9968) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4813,9968) x common factors =1 x 1 = 1
LCM(4813,9968) = ( 4813 × 9968 ) / 1
LCM(4813,9968) = 47975984 / 1
LCM(4813,9968) = 47975984
Lets's calculate GCF of 362,5445
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47975984/1
Therefore the LCM of Fractions 4813/362,9968/5445 is 47975984
Factors of 362
List of positive integer factors of 362 that divides 362 without a remainder.
1,2,181,362
Factors of 5445
List of positive integer factors of 5445 that divides 5445 without a remainder.
1,3,5,9,11,15,33,45,55,99,121,165,363,495,605,1089,1815,5445
Greatest Common Factor
We found the factors 362,5445 . The biggest common factor number is the GCF number.
So the greatest common factor 362,5445 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 4813/362, 9968/5445?
Answer: LCM of Numerators as per given numbers 4813/362, 9968/5445 is
LCM of Numerators i.e. for 4813,9968 is 47975984
GCF of denominators i.e. for 362,5445 is 1.
Thus, LCM of Fractions is 47975984.Finally, LCM of Fractions for 4813/362, 9968/5445 is 47975984.