Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 588/144, 243/139 quickly i.e. 47628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 588/144, 243/139 is 47628.
LCM(588/144, 243/139) = 47628
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 588/144,243/139
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 588,243
Least Common Multiple of Numerators i.e. LCM of 588,243 is 47628.
GCF of Denominators means GCF of 144,139 as per the given fractions.
GCF of 144,139 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 588,243
3 | 588, 243 |
196, 81 |
∴ So the LCM of the given numbers is 3 x 196 x 81 = 47628
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 588,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,243) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(588,243) x common factors =3 x 1 = 3
LCM(588,243) = ( 588 × 243 ) / 3
LCM(588,243) = 142884 / 3
LCM(588,243) = 47628
Lets's calculate GCF of 144,139
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47628/1
Therefore the LCM of Fractions 588/144,243/139 is 47628
Factors of 144
List of positive integer factors of 144 that divides 144 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1,139
Greatest Common Factor
We found the factors 144,139 . The biggest common factor number is the GCF number.
So the greatest common factor 144,139 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 588/144, 243/139?
Answer: LCM of Numerators as per given numbers 588/144, 243/139 is
LCM of Numerators i.e. for 588,243 is 47628
GCF of denominators i.e. for 144,139 is 1.
Thus, LCM of Fractions is 47628.Finally, LCM of Fractions for 588/144, 243/139 is 47628.