Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6223/683, 9856/4633 quickly i.e. 8761984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6223/683, 9856/4633 is 8761984.
LCM(6223/683, 9856/4633) = 8761984
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6223/683,9856/4633
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 6223,9856
Least Common Multiple of Numerators i.e. LCM of 6223,9856 is 8761984.
GCF of Denominators means GCF of 683,4633 as per the given fractions.
GCF of 683,4633 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6223,9856
7 | 6223, 9856 |
889, 1408 |
∴ So the LCM of the given numbers is 7 x 889 x 1408 = 8761984
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 6223,9856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6223,9856) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(6223,9856) x common factors =7 x 1 = 7
LCM(6223,9856) = ( 6223 × 9856 ) / 7
LCM(6223,9856) = 61333888 / 7
LCM(6223,9856) = 8761984
Lets's calculate GCF of 683,4633
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8761984/1
Therefore the LCM of Fractions 6223/683,9856/4633 is 8761984
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 4633
List of positive integer factors of 4633 that divides 4633 without a remainder.
1,41,113,4633
Greatest Common Factor
We found the factors 683,4633 . The biggest common factor number is the GCF number.
So the greatest common factor 683,4633 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 6223/683, 9856/4633?
Answer: LCM of Numerators as per given numbers 6223/683, 9856/4633 is
LCM of Numerators i.e. for 6223,9856 is 8761984
GCF of denominators i.e. for 683,4633 is 1.
Thus, LCM of Fractions is 8761984.Finally, LCM of Fractions for 6223/683, 9856/4633 is 8761984.