Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9926/325, 9666/9092 quickly i.e. 47972358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9926/325, 9666/9092 is 47972358.
LCM(9926/325, 9666/9092) = 47972358
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9926/325,9666/9092
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 9926,9666
Least Common Multiple of Numerators i.e. LCM of 9926,9666 is 47972358.
GCF of Denominators means GCF of 325,9092 as per the given fractions.
GCF of 325,9092 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9926,9666
2 | 9926, 9666 |
4963, 4833 |
∴ So the LCM of the given numbers is 2 x 4963 x 4833 = 47972358
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 9926,9666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9926,9666) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9926,9666) x common factors =2 x 1 = 2
LCM(9926,9666) = ( 9926 × 9666 ) / 2
LCM(9926,9666) = 95944716 / 2
LCM(9926,9666) = 47972358
Lets's calculate GCF of 325,9092
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47972358/1
Therefore the LCM of Fractions 9926/325,9666/9092 is 47972358
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Factors of 9092
List of positive integer factors of 9092 that divides 9092 without a remainder.
1,2,4,2273,4546,9092
Greatest Common Factor
We found the factors 325,9092 . The biggest common factor number is the GCF number.
So the greatest common factor 325,9092 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 9926/325, 9666/9092?
Answer: LCM of Numerators as per given numbers 9926/325, 9666/9092 is
LCM of Numerators i.e. for 9926,9666 is 47972358
GCF of denominators i.e. for 325,9092 is 1.
Thus, LCM of Fractions is 47972358.Finally, LCM of Fractions for 9926/325, 9666/9092 is 47972358.