Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/95, 821/40, 196/326 quickly i.e. 1770076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/95, 821/40, 196/326 is 1770076.
LCM(11/95, 821/40, 196/326) = 1770076
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/95,821/40,196/326
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 11,821,196
Least Common Multiple of Numerators i.e. LCM of 11,821,196 is 1770076.
GCF of Denominators means GCF of 95,40,326 as per the given fractions.
GCF of 95,40,326 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,821,196
Given numbers has no common factors except 1. So, there LCM is their product i.e 1770076
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 11,821,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,821,196) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,821,196) x common factors =1 x 1 = 1
LCM(11,821,196) = ( 11 × 821 × 196 ) / 1
LCM(11,821,196) = 1770076 / 1
LCM(11,821,196) = 1770076
Lets's calculate GCF of 95,40,326
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1770076/1
Therefore the LCM of Fractions 11/95,821/40,196/326 is 1770076
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 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors 95,40,326 . The biggest common factor number is the GCF number.
So the greatest common factor 95,40,326 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 11/95, 821/40, 196/326?
Answer: LCM of Numerators as per given numbers 11/95, 821/40, 196/326 is
LCM of Numerators i.e. for 11,821,196 is 1770076
GCF of denominators i.e. for 95,40,326 is 1.
Thus, LCM of Fractions is 1770076.Finally, LCM of Fractions for 11/95, 821/40, 196/326 is 1770076.