Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/118, 533/313, 297/133 quickly i.e. 2532816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/118, 533/313, 297/133 is 2532816.
LCM(48/118, 533/313, 297/133) = 2532816
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/118,533/313,297/133
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 48,533,297
Least Common Multiple of Numerators i.e. LCM of 48,533,297 is 2532816.
GCF of Denominators means GCF of 118,313,133 as per the given fractions.
GCF of 118,313,133 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,533,297
3 | 48, 533, 297 |
16, 533, 99 |
∴ So the LCM of the given numbers is 3 x 16 x 533 x 99 = 2532816
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 48,533,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,533,297) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(48,533,297) x common factors =1 x 3 = 3
LCM(48,533,297) = ( 48 × 533 × 297 ) / 3
LCM(48,533,297) = 7598448 / 3
LCM(48,533,297) = 2532816
Lets's calculate GCF of 118,313,133
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2532816/1
Therefore the LCM of Fractions 48/118,533/313,297/133 is 2532816
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Greatest Common Factor
We found the factors 118,313,133 . The biggest common factor number is the GCF number.
So the greatest common factor 118,313,133 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 48/118, 533/313, 297/133?
Answer: LCM of Numerators as per given numbers 48/118, 533/313, 297/133 is
LCM of Numerators i.e. for 48,533,297 is 2532816
GCF of denominators i.e. for 118,313,133 is 1.
Thus, LCM of Fractions is 2532816.Finally, LCM of Fractions for 48/118, 533/313, 297/133 is 2532816.