Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/23, 933/93, 643/356 quickly i.e. 8398866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/23, 933/93, 643/356 is 8398866.
LCM(14/23, 933/93, 643/356) = 8398866
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/23,933/93,643/356
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 14,933,643
Least Common Multiple of Numerators i.e. LCM of 14,933,643 is 8398866.
GCF of Denominators means GCF of 23,93,356 as per the given fractions.
GCF of 23,93,356 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,933,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 8398866
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 14,933,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,933,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,933,643) x common factors =1 x 1 = 1
LCM(14,933,643) = ( 14 × 933 × 643 ) / 1
LCM(14,933,643) = 8398866 / 1
LCM(14,933,643) = 8398866
Lets's calculate GCF of 23,93,356
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8398866/1
Therefore the LCM of Fractions 14/23,933/93,643/356 is 8398866
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1,2,4,89,178,356
Greatest Common Factor
We found the factors 23,93,356 . The biggest common factor number is the GCF number.
So the greatest common factor 23,93,356 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 14/23, 933/93, 643/356?
Answer: LCM of Numerators as per given numbers 14/23, 933/93, 643/356 is
LCM of Numerators i.e. for 14,933,643 is 8398866
GCF of denominators i.e. for 23,93,356 is 1.
Thus, LCM of Fractions is 8398866.Finally, LCM of Fractions for 14/23, 933/93, 643/356 is 8398866.