Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3323/223, 4061/5418 quickly i.e. 13494703 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3323/223, 4061/5418 is 13494703.
LCM(3323/223, 4061/5418) = 13494703
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3323/223,4061/5418
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 3323,4061
Least Common Multiple of Numerators i.e. LCM of 3323,4061 is 13494703.
GCF of Denominators means GCF of 223,5418 as per the given fractions.
GCF of 223,5418 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3323,4061
Given numbers has no common factors except 1. So, there LCM is their product i.e 13494703
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 3323,4061 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3323,4061) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3323,4061) x common factors =1 x 1 = 1
LCM(3323,4061) = ( 3323 × 4061 ) / 1
LCM(3323,4061) = 13494703 / 1
LCM(3323,4061) = 13494703
Lets's calculate GCF of 223,5418
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13494703/1
Therefore the LCM of Fractions 3323/223,4061/5418 is 13494703
Factors of 223
List of positive integer factors of 223 that divides 223 without a remainder.
1,223
Factors of 5418
List of positive integer factors of 5418 that divides 5418 without a remainder.
1,2,3,6,7,9,14,18,21,42,43,63,86,126,129,258,301,387,602,774,903,1806,2709,5418
Greatest Common Factor
We found the factors 223,5418 . The biggest common factor number is the GCF number.
So the greatest common factor 223,5418 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 3323/223, 4061/5418?
Answer: LCM of Numerators as per given numbers 3323/223, 4061/5418 is
LCM of Numerators i.e. for 3323,4061 is 13494703
GCF of denominators i.e. for 223,5418 is 1.
Thus, LCM of Fractions is 13494703.Finally, LCM of Fractions for 3323/223, 4061/5418 is 13494703.