Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1852/535, 2472/3882 quickly i.e. 1144536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1852/535, 2472/3882 is 1144536.
LCM(1852/535, 2472/3882) = 1144536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1852/535,2472/3882
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 1852,2472
Least Common Multiple of Numerators i.e. LCM of 1852,2472 is 1144536.
GCF of Denominators means GCF of 535,3882 as per the given fractions.
GCF of 535,3882 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1852,2472
2 | 1852, 2472 |
2 | 926, 1236 |
463, 618 |
∴ So the LCM of the given numbers is 2 x 2 x 463 x 618 = 1144536
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 1852,2472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1852,2472) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(1852,2472) x common factors =4 x 1 = 4
LCM(1852,2472) = ( 1852 × 2472 ) / 4
LCM(1852,2472) = 4578144 / 4
LCM(1852,2472) = 1144536
Lets's calculate GCF of 535,3882
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1144536/1
Therefore the LCM of Fractions 1852/535,2472/3882 is 1144536
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 3882
List of positive integer factors of 3882 that divides 3882 without a remainder.
1,2,3,6,647,1294,1941,3882
Greatest Common Factor
We found the factors 535,3882 . The biggest common factor number is the GCF number.
So the greatest common factor 535,3882 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 1852/535, 2472/3882?
Answer: LCM of Numerators as per given numbers 1852/535, 2472/3882 is
LCM of Numerators i.e. for 1852,2472 is 1144536
GCF of denominators i.e. for 535,3882 is 1.
Thus, LCM of Fractions is 1144536.Finally, LCM of Fractions for 1852/535, 2472/3882 is 1144536.