Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/93, 61/57, 593/212 quickly i.e. 2568283 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/93, 61/57, 593/212 is 2568283.
LCM(71/93, 61/57, 593/212) = 2568283
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/93,61/57,593/212
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 71,61,593
Least Common Multiple of Numerators i.e. LCM of 71,61,593 is 2568283.
GCF of Denominators means GCF of 93,57,212 as per the given fractions.
GCF of 93,57,212 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,61,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 2568283
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 71,61,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,61,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,61,593) x common factors =1 x 1 = 1
LCM(71,61,593) = ( 71 × 61 × 593 ) / 1
LCM(71,61,593) = 2568283 / 1
LCM(71,61,593) = 2568283
Lets's calculate GCF of 93,57,212
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2568283/1
Therefore the LCM of Fractions 71/93,61/57,593/212 is 2568283
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Greatest Common Factor
We found the factors 93,57,212 . The biggest common factor number is the GCF number.
So the greatest common factor 93,57,212 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 71/93, 61/57, 593/212?
Answer: LCM of Numerators as per given numbers 71/93, 61/57, 593/212 is
LCM of Numerators i.e. for 71,61,593 is 2568283
GCF of denominators i.e. for 93,57,212 is 1.
Thus, LCM of Fractions is 2568283.Finally, LCM of Fractions for 71/93, 61/57, 593/212 is 2568283.