Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/93, 23/97, 212/728 quickly i.e. 365700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/93, 23/97, 212/728 is 365700.
LCM(75/93, 23/97, 212/728) = 365700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/93,23/97,212/728
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 75,23,212
Least Common Multiple of Numerators i.e. LCM of 75,23,212 is 365700.
GCF of Denominators means GCF of 93,97,728 as per the given fractions.
GCF of 93,97,728 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,23,212
Given numbers has no common factors except 1. So, there LCM is their product i.e 365700
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 75,23,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,23,212) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,23,212) x common factors =1 x 1 = 1
LCM(75,23,212) = ( 75 × 23 × 212 ) / 1
LCM(75,23,212) = 365700 / 1
LCM(75,23,212) = 365700
Lets's calculate GCF of 93,97,728
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365700/1
Therefore the LCM of Fractions 75/93,23/97,212/728 is 365700
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 93,97,728 . The biggest common factor number is the GCF number.
So the greatest common factor 93,97,728 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 75/93, 23/97, 212/728?
Answer: LCM of Numerators as per given numbers 75/93, 23/97, 212/728 is
LCM of Numerators i.e. for 75,23,212 is 365700
GCF of denominators i.e. for 93,97,728 is 1.
Thus, LCM of Fractions is 365700.Finally, LCM of Fractions for 75/93, 23/97, 212/728 is 365700.