Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/607, 4763/2071 quickly i.e. 395329 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/607, 4763/2071 is 395329.
LCM(83/607, 4763/2071) = 395329
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/607,4763/2071
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 83,4763
Least Common Multiple of Numerators i.e. LCM of 83,4763 is 395329.
GCF of Denominators means GCF of 607,2071 as per the given fractions.
GCF of 607,2071 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,4763
Given numbers has no common factors except 1. So, there LCM is their product i.e 395329
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 83,4763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,4763) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,4763) x common factors =1 x 1 = 1
LCM(83,4763) = ( 83 × 4763 ) / 1
LCM(83,4763) = 395329 / 1
LCM(83,4763) = 395329
Lets's calculate GCF of 607,2071
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 395329/1
Therefore the LCM of Fractions 83/607,4763/2071 is 395329
Factors of 607
List of positive integer factors of 607 that divides 607 without a remainder.
1,607
Factors of 2071
List of positive integer factors of 2071 that divides 2071 without a remainder.
1,19,109,2071
Greatest Common Factor
We found the factors 607,2071 . The biggest common factor number is the GCF number.
So the greatest common factor 607,2071 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 83/607, 4763/2071?
Answer: LCM of Numerators as per given numbers 83/607, 4763/2071 is
LCM of Numerators i.e. for 83,4763 is 395329
GCF of denominators i.e. for 607,2071 is 1.
Thus, LCM of Fractions is 395329.Finally, LCM of Fractions for 83/607, 4763/2071 is 395329.