Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7788/499, 1711/3259 quickly i.e. 225852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7788/499, 1711/3259 is 225852.
LCM(7788/499, 1711/3259) = 225852
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7788/499,1711/3259
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 7788,1711
Least Common Multiple of Numerators i.e. LCM of 7788,1711 is 225852.
GCF of Denominators means GCF of 499,3259 as per the given fractions.
GCF of 499,3259 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7788,1711
59 | 7788, 1711 |
132, 29 |
∴ So the LCM of the given numbers is 59 x 132 x 29 = 225852
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 7788,1711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7788,1711) = 59
common factors(in case of two or more numbers have common factors) = 1
GCF(7788,1711) x common factors =59 x 1 = 59
LCM(7788,1711) = ( 7788 × 1711 ) / 59
LCM(7788,1711) = 13325268 / 59
LCM(7788,1711) = 225852
Lets's calculate GCF of 499,3259
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 225852/1
Therefore the LCM of Fractions 7788/499,1711/3259 is 225852
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Factors of 3259
List of positive integer factors of 3259 that divides 3259 without a remainder.
1,3259
Greatest Common Factor
We found the factors 499,3259 . The biggest common factor number is the GCF number.
So the greatest common factor 499,3259 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 7788/499, 1711/3259?
Answer: LCM of Numerators as per given numbers 7788/499, 1711/3259 is
LCM of Numerators i.e. for 7788,1711 is 225852
GCF of denominators i.e. for 499,3259 is 1.
Thus, LCM of Fractions is 225852.Finally, LCM of Fractions for 7788/499, 1711/3259 is 225852.