Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 531/288, 8542/5539 quickly i.e. 4535802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 531/288, 8542/5539 is 4535802.
LCM(531/288, 8542/5539) = 4535802
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 531/288,8542/5539
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 531,8542
Least Common Multiple of Numerators i.e. LCM of 531,8542 is 4535802.
GCF of Denominators means GCF of 288,5539 as per the given fractions.
GCF of 288,5539 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 531,8542
Given numbers has no common factors except 1. So, there LCM is their product i.e 4535802
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 531,8542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,8542) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(531,8542) x common factors =1 x 1 = 1
LCM(531,8542) = ( 531 × 8542 ) / 1
LCM(531,8542) = 4535802 / 1
LCM(531,8542) = 4535802
Lets's calculate GCF of 288,5539
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4535802/1
Therefore the LCM of Fractions 531/288,8542/5539 is 4535802
Factors of 288
List of positive integer factors of 288 that divides 288 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Factors of 5539
List of positive integer factors of 5539 that divides 5539 without a remainder.
1,29,191,5539
Greatest Common Factor
We found the factors 288,5539 . The biggest common factor number is the GCF number.
So the greatest common factor 288,5539 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 531/288, 8542/5539?
Answer: LCM of Numerators as per given numbers 531/288, 8542/5539 is
LCM of Numerators i.e. for 531,8542 is 4535802
GCF of denominators i.e. for 288,5539 is 1.
Thus, LCM of Fractions is 4535802.Finally, LCM of Fractions for 531/288, 8542/5539 is 4535802.