Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6484/592, 7465/7531 quickly i.e. 48403060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6484/592, 7465/7531 is 48403060.
LCM(6484/592, 7465/7531) = 48403060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6484/592,7465/7531
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 6484,7465
Least Common Multiple of Numerators i.e. LCM of 6484,7465 is 48403060.
GCF of Denominators means GCF of 592,7531 as per the given fractions.
GCF of 592,7531 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6484,7465
Given numbers has no common factors except 1. So, there LCM is their product i.e 48403060
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 6484,7465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6484,7465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6484,7465) x common factors =1 x 1 = 1
LCM(6484,7465) = ( 6484 × 7465 ) / 1
LCM(6484,7465) = 48403060 / 1
LCM(6484,7465) = 48403060
Lets's calculate GCF of 592,7531
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48403060/1
Therefore the LCM of Fractions 6484/592,7465/7531 is 48403060
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 7531
List of positive integer factors of 7531 that divides 7531 without a remainder.
1,17,443,7531
Greatest Common Factor
We found the factors 592,7531 . The biggest common factor number is the GCF number.
So the greatest common factor 592,7531 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 6484/592, 7465/7531?
Answer: LCM of Numerators as per given numbers 6484/592, 7465/7531 is
LCM of Numerators i.e. for 6484,7465 is 48403060
GCF of denominators i.e. for 592,7531 is 1.
Thus, LCM of Fractions is 48403060.Finally, LCM of Fractions for 6484/592, 7465/7531 is 48403060.