Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 823/42, 493/1877 quickly i.e. 405739 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 823/42, 493/1877 is 405739.
LCM(823/42, 493/1877) = 405739
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 823/42,493/1877
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 823,493
Least Common Multiple of Numerators i.e. LCM of 823,493 is 405739.
GCF of Denominators means GCF of 42,1877 as per the given fractions.
GCF of 42,1877 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 823,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 405739
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 823,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,493) x common factors =1 x 1 = 1
LCM(823,493) = ( 823 × 493 ) / 1
LCM(823,493) = 405739 / 1
LCM(823,493) = 405739
Lets's calculate GCF of 42,1877
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 405739/1
Therefore the LCM of Fractions 823/42,493/1877 is 405739
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 1877
List of positive integer factors of 1877 that divides 1877 without a remainder.
1,1877
Greatest Common Factor
We found the factors 42,1877 . The biggest common factor number is the GCF number.
So the greatest common factor 42,1877 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 823/42, 493/1877?
Answer: LCM of Numerators as per given numbers 823/42, 493/1877 is
LCM of Numerators i.e. for 823,493 is 405739
GCF of denominators i.e. for 42,1877 is 1.
Thus, LCM of Fractions is 405739.Finally, LCM of Fractions for 823/42, 493/1877 is 405739.