Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 609/86, 992/7803 quickly i.e. 604128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 609/86, 992/7803 is 604128.
LCM(609/86, 992/7803) = 604128
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 609/86,992/7803
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 609,992
Least Common Multiple of Numerators i.e. LCM of 609,992 is 604128.
GCF of Denominators means GCF of 86,7803 as per the given fractions.
GCF of 86,7803 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 609,992
Given numbers has no common factors except 1. So, there LCM is their product i.e 604128
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 609,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,992) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(609,992) x common factors =1 x 1 = 1
LCM(609,992) = ( 609 × 992 ) / 1
LCM(609,992) = 604128 / 1
LCM(609,992) = 604128
Lets's calculate GCF of 86,7803
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 604128/1
Therefore the LCM of Fractions 609/86,992/7803 is 604128
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 7803
List of positive integer factors of 7803 that divides 7803 without a remainder.
1,3,9,17,27,51,153,289,459,867,2601,7803
Greatest Common Factor
We found the factors 86,7803 . The biggest common factor number is the GCF number.
So the greatest common factor 86,7803 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 609/86, 992/7803?
Answer: LCM of Numerators as per given numbers 609/86, 992/7803 is
LCM of Numerators i.e. for 609,992 is 604128
GCF of denominators i.e. for 86,7803 is 1.
Thus, LCM of Fractions is 604128.Finally, LCM of Fractions for 609/86, 992/7803 is 604128.