Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/95, 957/40, 575/766 quickly i.e. 22561275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/95, 957/40, 575/766 is 22561275.
LCM(41/95, 957/40, 575/766) = 22561275
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/95,957/40,575/766
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 41,957,575
Least Common Multiple of Numerators i.e. LCM of 41,957,575 is 22561275.
GCF of Denominators means GCF of 95,40,766 as per the given fractions.
GCF of 95,40,766 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,957,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 22561275
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 41,957,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,957,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,957,575) x common factors =1 x 1 = 1
LCM(41,957,575) = ( 41 × 957 × 575 ) / 1
LCM(41,957,575) = 22561275 / 1
LCM(41,957,575) = 22561275
Lets's calculate GCF of 95,40,766
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22561275/1
Therefore the LCM of Fractions 41/95,957/40,575/766 is 22561275
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
Greatest Common Factor
We found the factors 95,40,766 . The biggest common factor number is the GCF number.
So the greatest common factor 95,40,766 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 41/95, 957/40, 575/766?
Answer: LCM of Numerators as per given numbers 41/95, 957/40, 575/766 is
LCM of Numerators i.e. for 41,957,575 is 22561275
GCF of denominators i.e. for 95,40,766 is 1.
Thus, LCM of Fractions is 22561275.Finally, LCM of Fractions for 41/95, 957/40, 575/766 is 22561275.