Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 181/19, 422/99, 326/772 quickly i.e. 12450266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 181/19, 422/99, 326/772 is 12450266.
LCM(181/19, 422/99, 326/772) = 12450266
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 181/19,422/99,326/772
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 181,422,326
Least Common Multiple of Numerators i.e. LCM of 181,422,326 is 12450266.
GCF of Denominators means GCF of 19,99,772 as per the given fractions.
GCF of 19,99,772 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 181,422,326
2 | 181, 422, 326 |
181, 211, 163 |
∴ So the LCM of the given numbers is 2 x 181 x 211 x 163 = 12450266
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 181,422,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(181,422,326) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(181,422,326) x common factors =1 x 2 = 2
LCM(181,422,326) = ( 181 × 422 × 326 ) / 2
LCM(181,422,326) = 24900532 / 2
LCM(181,422,326) = 12450266
Lets's calculate GCF of 19,99,772
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12450266/1
Therefore the LCM of Fractions 181/19,422/99,326/772 is 12450266
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Greatest Common Factor
We found the factors 19,99,772 . The biggest common factor number is the GCF number.
So the greatest common factor 19,99,772 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 181/19, 422/99, 326/772?
Answer: LCM of Numerators as per given numbers 181/19, 422/99, 326/772 is
LCM of Numerators i.e. for 181,422,326 is 12450266
GCF of denominators i.e. for 19,99,772 is 1.
Thus, LCM of Fractions is 12450266.Finally, LCM of Fractions for 181/19, 422/99, 326/772 is 12450266.