Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 806/76, 504/4806 quickly i.e. 101556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 806/76, 504/4806 is 101556.
LCM(806/76, 504/4806) = 101556
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 806/76,504/4806
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 806,504
Least Common Multiple of Numerators i.e. LCM of 806,504 is 203112.
GCF of Denominators means GCF of 76,4806 as per the given fractions.
GCF of 76,4806 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 806,504
2 | 806, 504 |
403, 252 |
∴ So the LCM of the given numbers is 2 x 403 x 252 = 203112
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 806,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,504) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(806,504) x common factors =2 x 1 = 2
LCM(806,504) = ( 806 × 504 ) / 2
LCM(806,504) = 406224 / 2
LCM(806,504) = 203112
Lets's calculate GCF of 76,4806
2 | 76, 4806 |
38, 2403 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203112/2
Therefore the LCM of Fractions 806/76,504/4806 is 101556
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 4806
List of positive integer factors of 4806 that divides 4806 without a remainder.
1,2,3,6,9,18,27,54,89,178,267,534,801,1602,2403,4806
Greatest Common Factor
We found the factors 76,4806 . The biggest common factor number is the GCF number.
So the greatest common factor 76,4806 is 2.
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 806/76, 504/4806?
Answer: LCM of Numerators as per given numbers 806/76, 504/4806 is
LCM of Numerators i.e. for 806,504 is 203112
GCF of denominators i.e. for 76,4806 is 2.
Thus, LCM of Fractions is 101556.Finally, LCM of Fractions for 806/76, 504/4806 is 101556.