Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/923, 9265/4278 quickly i.e. 398395 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/923, 9265/4278 is 398395.
LCM(43/923, 9265/4278) = 398395
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/923,9265/4278
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 43,9265
Least Common Multiple of Numerators i.e. LCM of 43,9265 is 398395.
GCF of Denominators means GCF of 923,4278 as per the given fractions.
GCF of 923,4278 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,9265
Given numbers has no common factors except 1. So, there LCM is their product i.e 398395
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 43,9265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,9265) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,9265) x common factors =1 x 1 = 1
LCM(43,9265) = ( 43 × 9265 ) / 1
LCM(43,9265) = 398395 / 1
LCM(43,9265) = 398395
Lets's calculate GCF of 923,4278
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 398395/1
Therefore the LCM of Fractions 43/923,9265/4278 is 398395
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Factors of 4278
List of positive integer factors of 4278 that divides 4278 without a remainder.
1,2,3,6,23,31,46,62,69,93,138,186,713,1426,2139,4278
Greatest Common Factor
We found the factors 923,4278 . The biggest common factor number is the GCF number.
So the greatest common factor 923,4278 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 43/923, 9265/4278?
Answer: LCM of Numerators as per given numbers 43/923, 9265/4278 is
LCM of Numerators i.e. for 43,9265 is 398395
GCF of denominators i.e. for 923,4278 is 1.
Thus, LCM of Fractions is 398395.Finally, LCM of Fractions for 43/923, 9265/4278 is 398395.