Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4337/535, 2484/343 quickly i.e. 10773108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4337/535, 2484/343 is 10773108.
LCM(4337/535, 2484/343) = 10773108
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4337/535,2484/343
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 4337,2484
Least Common Multiple of Numerators i.e. LCM of 4337,2484 is 10773108.
GCF of Denominators means GCF of 535,343 as per the given fractions.
GCF of 535,343 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4337,2484
Given numbers has no common factors except 1. So, there LCM is their product i.e 10773108
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 4337,2484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4337,2484) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4337,2484) x common factors =1 x 1 = 1
LCM(4337,2484) = ( 4337 × 2484 ) / 1
LCM(4337,2484) = 10773108 / 1
LCM(4337,2484) = 10773108
Lets's calculate GCF of 535,343
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10773108/1
Therefore the LCM of Fractions 4337/535,2484/343 is 10773108
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 343
List of positive integer factors of 343 that divides 343 without a remainder.
1,7,49,343
Greatest Common Factor
We found the factors 535,343 . The biggest common factor number is the GCF number.
So the greatest common factor 535,343 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 4337/535, 2484/343?
Answer: LCM of Numerators as per given numbers 4337/535, 2484/343 is
LCM of Numerators i.e. for 4337,2484 is 10773108
GCF of denominators i.e. for 535,343 is 1.
Thus, LCM of Fractions is 10773108.Finally, LCM of Fractions for 4337/535, 2484/343 is 10773108.