Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/363, 6240/6485 quickly i.e. 443040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/363, 6240/6485 is 443040.
LCM(71/363, 6240/6485) = 443040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/363,6240/6485
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 71,6240
Least Common Multiple of Numerators i.e. LCM of 71,6240 is 443040.
GCF of Denominators means GCF of 363,6485 as per the given fractions.
GCF of 363,6485 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,6240
Given numbers has no common factors except 1. So, there LCM is their product i.e 443040
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 71,6240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,6240) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,6240) x common factors =1 x 1 = 1
LCM(71,6240) = ( 71 × 6240 ) / 1
LCM(71,6240) = 443040 / 1
LCM(71,6240) = 443040
Lets's calculate GCF of 363,6485
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 443040/1
Therefore the LCM of Fractions 71/363,6240/6485 is 443040
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Factors of 6485
List of positive integer factors of 6485 that divides 6485 without a remainder.
1,5,1297,6485
Greatest Common Factor
We found the factors 363,6485 . The biggest common factor number is the GCF number.
So the greatest common factor 363,6485 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 71/363, 6240/6485?
Answer: LCM of Numerators as per given numbers 71/363, 6240/6485 is
LCM of Numerators i.e. for 71,6240 is 443040
GCF of denominators i.e. for 363,6485 is 1.
Thus, LCM of Fractions is 443040.Finally, LCM of Fractions for 71/363, 6240/6485 is 443040.