Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 971/588, 8224/535 quickly i.e. 7985504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 971/588, 8224/535 is 7985504.
LCM(971/588, 8224/535) = 7985504
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 971/588,8224/535
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 971,8224
Least Common Multiple of Numerators i.e. LCM of 971,8224 is 7985504.
GCF of Denominators means GCF of 588,535 as per the given fractions.
GCF of 588,535 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 971,8224
Given numbers has no common factors except 1. So, there LCM is their product i.e 7985504
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 971,8224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,8224) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,8224) x common factors =1 x 1 = 1
LCM(971,8224) = ( 971 × 8224 ) / 1
LCM(971,8224) = 7985504 / 1
LCM(971,8224) = 7985504
Lets's calculate GCF of 588,535
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7985504/1
Therefore the LCM of Fractions 971/588,8224/535 is 7985504
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Greatest Common Factor
We found the factors 588,535 . The biggest common factor number is the GCF number.
So the greatest common factor 588,535 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 971/588, 8224/535?
Answer: LCM of Numerators as per given numbers 971/588, 8224/535 is
LCM of Numerators i.e. for 971,8224 is 7985504
GCF of denominators i.e. for 588,535 is 1.
Thus, LCM of Fractions is 7985504.Finally, LCM of Fractions for 971/588, 8224/535 is 7985504.