Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 24/50, 93/60, 48/209 quickly i.e. 1488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 24/50, 93/60, 48/209 is 1488.
LCM(24/50, 93/60, 48/209) = 1488
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 24/50,93/60,48/209
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 24,93,48
Least Common Multiple of Numerators i.e. LCM of 24,93,48 is 1488.
GCF of Denominators means GCF of 50,60,209 as per the given fractions.
GCF of 50,60,209 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 24,93,48
2 | 24, 93, 48 |
2 | 12, 93, 24 |
2 | 6, 93, 12 |
3 | 3, 93, 6 |
1, 31, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 31 x 2 = 1488
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 24,93,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,93,48) = 3
common factors(in case of two or more numbers have common factors) = 24
GCF(24,93,48) x common factors =3 x 24 = 72
LCM(24,93,48) = ( 24 × 93 × 48 ) / 72
LCM(24,93,48) = 107136 / 72
LCM(24,93,48) = 1488
Lets's calculate GCF of 50,60,209
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1488/1
Therefore the LCM of Fractions 24/50,93/60,48/209 is 1488
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Greatest Common Factor
We found the factors 50,60,209 . The biggest common factor number is the GCF number.
So the greatest common factor 50,60,209 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 24/50, 93/60, 48/209?
Answer: LCM of Numerators as per given numbers 24/50, 93/60, 48/209 is
LCM of Numerators i.e. for 24,93,48 is 1488
GCF of denominators i.e. for 50,60,209 is 1.
Thus, LCM of Fractions is 1488.Finally, LCM of Fractions for 24/50, 93/60, 48/209 is 1488.