Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4322/825, 8492/3854 quickly i.e. 18351212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4322/825, 8492/3854 is 18351212.
LCM(4322/825, 8492/3854) = 18351212
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4322/825,8492/3854
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 4322,8492
Least Common Multiple of Numerators i.e. LCM of 4322,8492 is 18351212.
GCF of Denominators means GCF of 825,3854 as per the given fractions.
GCF of 825,3854 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4322,8492
2 | 4322, 8492 |
2161, 4246 |
∴ So the LCM of the given numbers is 2 x 2161 x 4246 = 18351212
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 4322,8492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4322,8492) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4322,8492) x common factors =2 x 1 = 2
LCM(4322,8492) = ( 4322 × 8492 ) / 2
LCM(4322,8492) = 36702424 / 2
LCM(4322,8492) = 18351212
Lets's calculate GCF of 825,3854
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18351212/1
Therefore the LCM of Fractions 4322/825,8492/3854 is 18351212
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Factors of 3854
List of positive integer factors of 3854 that divides 3854 without a remainder.
1,2,41,47,82,94,1927,3854
Greatest Common Factor
We found the factors 825,3854 . The biggest common factor number is the GCF number.
So the greatest common factor 825,3854 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 4322/825, 8492/3854?
Answer: LCM of Numerators as per given numbers 4322/825, 8492/3854 is
LCM of Numerators i.e. for 4322,8492 is 18351212
GCF of denominators i.e. for 825,3854 is 1.
Thus, LCM of Fractions is 18351212.Finally, LCM of Fractions for 4322/825, 8492/3854 is 18351212.