Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/835, 2509/3852 quickly i.e. 30108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/835, 2509/3852 is 30108.
LCM(12/835, 2509/3852) = 30108
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/835,2509/3852
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 12,2509
Least Common Multiple of Numerators i.e. LCM of 12,2509 is 30108.
GCF of Denominators means GCF of 835,3852 as per the given fractions.
GCF of 835,3852 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,2509
Given numbers has no common factors except 1. So, there LCM is their product i.e 30108
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 12,2509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,2509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(12,2509) x common factors =1 x 1 = 1
LCM(12,2509) = ( 12 × 2509 ) / 1
LCM(12,2509) = 30108 / 1
LCM(12,2509) = 30108
Lets's calculate GCF of 835,3852
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30108/1
Therefore the LCM of Fractions 12/835,2509/3852 is 30108
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 3852
List of positive integer factors of 3852 that divides 3852 without a remainder.
1,2,3,4,6,9,12,18,36,107,214,321,428,642,963,1284,1926,3852
Greatest Common Factor
We found the factors 835,3852 . The biggest common factor number is the GCF number.
So the greatest common factor 835,3852 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 12/835, 2509/3852?
Answer: LCM of Numerators as per given numbers 12/835, 2509/3852 is
LCM of Numerators i.e. for 12,2509 is 30108
GCF of denominators i.e. for 835,3852 is 1.
Thus, LCM of Fractions is 30108.Finally, LCM of Fractions for 12/835, 2509/3852 is 30108.