Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9804/243, 8299/266 quickly i.e. 1892172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9804/243, 8299/266 is 1892172.
LCM(9804/243, 8299/266) = 1892172
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9804/243,8299/266
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 9804,8299
Least Common Multiple of Numerators i.e. LCM of 9804,8299 is 1892172.
GCF of Denominators means GCF of 243,266 as per the given fractions.
GCF of 243,266 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9804,8299
43 | 9804, 8299 |
228, 193 |
∴ So the LCM of the given numbers is 43 x 228 x 193 = 1892172
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 9804,8299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9804,8299) = 43
common factors(in case of two or more numbers have common factors) = 1
GCF(9804,8299) x common factors =43 x 1 = 43
LCM(9804,8299) = ( 9804 × 8299 ) / 43
LCM(9804,8299) = 81363396 / 43
LCM(9804,8299) = 1892172
Lets's calculate GCF of 243,266
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1892172/1
Therefore the LCM of Fractions 9804/243,8299/266 is 1892172
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 243,266 . The biggest common factor number is the GCF number.
So the greatest common factor 243,266 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 9804/243, 8299/266?
Answer: LCM of Numerators as per given numbers 9804/243, 8299/266 is
LCM of Numerators i.e. for 9804,8299 is 1892172
GCF of denominators i.e. for 243,266 is 1.
Thus, LCM of Fractions is 1892172.Finally, LCM of Fractions for 9804/243, 8299/266 is 1892172.