Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/41, 17/93, 79/91 quickly i.e. 100725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/41, 17/93, 79/91 is 100725.
LCM(75/41, 17/93, 79/91) = 100725
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/41,17/93,79/91
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 75,17,79
Least Common Multiple of Numerators i.e. LCM of 75,17,79 is 100725.
GCF of Denominators means GCF of 41,93,91 as per the given fractions.
GCF of 41,93,91 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,17,79
Given numbers has no common factors except 1. So, there LCM is their product i.e 100725
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 75,17,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,17,79) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,17,79) x common factors =1 x 1 = 1
LCM(75,17,79) = ( 75 × 17 × 79 ) / 1
LCM(75,17,79) = 100725 / 1
LCM(75,17,79) = 100725
Lets's calculate GCF of 41,93,91
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100725/1
Therefore the LCM of Fractions 75/41,17/93,79/91 is 100725
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Greatest Common Factor
We found the factors 41,93,91 . The biggest common factor number is the GCF number.
So the greatest common factor 41,93,91 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 75/41, 17/93, 79/91?
Answer: LCM of Numerators as per given numbers 75/41, 17/93, 79/91 is
LCM of Numerators i.e. for 75,17,79 is 100725
GCF of denominators i.e. for 41,93,91 is 1.
Thus, LCM of Fractions is 100725.Finally, LCM of Fractions for 75/41, 17/93, 79/91 is 100725.