Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3507/493, 8227/2047 quickly i.e. 28852089 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3507/493, 8227/2047 is 28852089.
LCM(3507/493, 8227/2047) = 28852089
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3507/493,8227/2047
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 3507,8227
Least Common Multiple of Numerators i.e. LCM of 3507,8227 is 28852089.
GCF of Denominators means GCF of 493,2047 as per the given fractions.
GCF of 493,2047 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3507,8227
Given numbers has no common factors except 1. So, there LCM is their product i.e 28852089
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 3507,8227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3507,8227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3507,8227) x common factors =1 x 1 = 1
LCM(3507,8227) = ( 3507 × 8227 ) / 1
LCM(3507,8227) = 28852089 / 1
LCM(3507,8227) = 28852089
Lets's calculate GCF of 493,2047
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28852089/1
Therefore the LCM of Fractions 3507/493,8227/2047 is 28852089
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1,17,29,493
Factors of 2047
List of positive integer factors of 2047 that divides 2047 without a remainder.
1,23,89,2047
Greatest Common Factor
We found the factors 493,2047 . The biggest common factor number is the GCF number.
So the greatest common factor 493,2047 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 3507/493, 8227/2047?
Answer: LCM of Numerators as per given numbers 3507/493, 8227/2047 is
LCM of Numerators i.e. for 3507,8227 is 28852089
GCF of denominators i.e. for 493,2047 is 1.
Thus, LCM of Fractions is 28852089.Finally, LCM of Fractions for 3507/493, 8227/2047 is 28852089.