Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/828, 15/618, 591/712 quickly i.e. 121155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/828, 15/618, 591/712 is 121155.
LCM(82/828, 15/618, 591/712) = 121155
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/828,15/618,591/712
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 82,15,591
Least Common Multiple of Numerators i.e. LCM of 82,15,591 is 242310.
GCF of Denominators means GCF of 828,618,712 as per the given fractions.
GCF of 828,618,712 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,15,591
3 | 82, 15, 591 |
82, 5, 197 |
∴ So the LCM of the given numbers is 3 x 82 x 5 x 197 = 242310
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 82,15,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,15,591) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(82,15,591) x common factors =1 x 3 = 3
LCM(82,15,591) = ( 82 × 15 × 591 ) / 3
LCM(82,15,591) = 726930 / 3
LCM(82,15,591) = 242310
Lets's calculate GCF of 828,618,712
2 | 828, 618, 712 |
414, 309, 356 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242310/2
Therefore the LCM of Fractions 82/828,15/618,591/712 is 121155
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 828,618,712 . The biggest common factor number is the GCF number.
So the greatest common factor 828,618,712 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 82/828, 15/618, 591/712?
Answer: LCM of Numerators as per given numbers 82/828, 15/618, 591/712 is
LCM of Numerators i.e. for 82,15,591 is 242310
GCF of denominators i.e. for 828,618,712 is 2.
Thus, LCM of Fractions is 121155.Finally, LCM of Fractions for 82/828, 15/618, 591/712 is 121155.