Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5543/330, 7277/5321 quickly i.e. 40336411 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5543/330, 7277/5321 is 40336411.
LCM(5543/330, 7277/5321) = 40336411
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5543/330,7277/5321
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 5543,7277
Least Common Multiple of Numerators i.e. LCM of 5543,7277 is 40336411.
GCF of Denominators means GCF of 330,5321 as per the given fractions.
GCF of 330,5321 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5543,7277
Given numbers has no common factors except 1. So, there LCM is their product i.e 40336411
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 5543,7277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5543,7277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5543,7277) x common factors =1 x 1 = 1
LCM(5543,7277) = ( 5543 × 7277 ) / 1
LCM(5543,7277) = 40336411 / 1
LCM(5543,7277) = 40336411
Lets's calculate GCF of 330,5321
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40336411/1
Therefore the LCM of Fractions 5543/330,7277/5321 is 40336411
Factors of 330
List of positive integer factors of 330 that divides 330 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Factors of 5321
List of positive integer factors of 5321 that divides 5321 without a remainder.
1,17,313,5321
Greatest Common Factor
We found the factors 330,5321 . The biggest common factor number is the GCF number.
So the greatest common factor 330,5321 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 5543/330, 7277/5321?
Answer: LCM of Numerators as per given numbers 5543/330, 7277/5321 is
LCM of Numerators i.e. for 5543,7277 is 40336411
GCF of denominators i.e. for 330,5321 is 1.
Thus, LCM of Fractions is 40336411.Finally, LCM of Fractions for 5543/330, 7277/5321 is 40336411.