Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/792, 73/902, 561/600 quickly i.e. 1679073 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/792, 73/902, 561/600 is 1679073.
LCM(82/792, 73/902, 561/600) = 1679073
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/792,73/902,561/600
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 82,73,561
Least Common Multiple of Numerators i.e. LCM of 82,73,561 is 3358146.
GCF of Denominators means GCF of 792,902,600 as per the given fractions.
GCF of 792,902,600 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,73,561
Given numbers has no common factors except 1. So, there LCM is their product i.e 3358146
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 82,73,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,73,561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,73,561) x common factors =1 x 1 = 1
LCM(82,73,561) = ( 82 × 73 × 561 ) / 1
LCM(82,73,561) = 3358146 / 1
LCM(82,73,561) = 3358146
Lets's calculate GCF of 792,902,600
2 | 792, 902, 600 |
396, 451, 300 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3358146/2
Therefore the LCM of Fractions 82/792,73/902,561/600 is 1679073
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Factors of 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Greatest Common Factor
We found the factors 792,902,600 . The biggest common factor number is the GCF number.
So the greatest common factor 792,902,600 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 82/792, 73/902, 561/600?
Answer: LCM of Numerators as per given numbers 82/792, 73/902, 561/600 is
LCM of Numerators i.e. for 82,73,561 is 3358146
GCF of denominators i.e. for 792,902,600 is 2.
Thus, LCM of Fractions is 1679073.Finally, LCM of Fractions for 82/792, 73/902, 561/600 is 1679073.