Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7690/285, 2153/7831 quickly i.e. 16556570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7690/285, 2153/7831 is 16556570.
LCM(7690/285, 2153/7831) = 16556570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7690/285,2153/7831
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 7690,2153
Least Common Multiple of Numerators i.e. LCM of 7690,2153 is 16556570.
GCF of Denominators means GCF of 285,7831 as per the given fractions.
GCF of 285,7831 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7690,2153
Given numbers has no common factors except 1. So, there LCM is their product i.e 16556570
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 7690,2153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7690,2153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7690,2153) x common factors =1 x 1 = 1
LCM(7690,2153) = ( 7690 × 2153 ) / 1
LCM(7690,2153) = 16556570 / 1
LCM(7690,2153) = 16556570
Lets's calculate GCF of 285,7831
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16556570/1
Therefore the LCM of Fractions 7690/285,2153/7831 is 16556570
Factors of 285
List of positive integer factors of 285 that divides 285 without a remainder.
1,3,5,15,19,57,95,285
Factors of 7831
List of positive integer factors of 7831 that divides 7831 without a remainder.
1,41,191,7831
Greatest Common Factor
We found the factors 285,7831 . The biggest common factor number is the GCF number.
So the greatest common factor 285,7831 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 7690/285, 2153/7831?
Answer: LCM of Numerators as per given numbers 7690/285, 2153/7831 is
LCM of Numerators i.e. for 7690,2153 is 16556570
GCF of denominators i.e. for 285,7831 is 1.
Thus, LCM of Fractions is 16556570.Finally, LCM of Fractions for 7690/285, 2153/7831 is 16556570.