Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/232, 16/326, 160/848 quickly i.e. 2160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/232, 16/326, 160/848 is 2160.
LCM(54/232, 16/326, 160/848) = 2160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/232,16/326,160/848
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 54,16,160
Least Common Multiple of Numerators i.e. LCM of 54,16,160 is 4320.
GCF of Denominators means GCF of 232,326,848 as per the given fractions.
GCF of 232,326,848 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,16,160
2 | 54, 16, 160 |
2 | 27, 8, 80 |
2 | 27, 4, 40 |
2 | 27, 2, 20 |
27, 1, 10 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 27 x 1 x 10 = 4320
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 54,16,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,16,160) = 2
common factors(in case of two or more numbers have common factors) = 16
GCF(54,16,160) x common factors =2 x 16 = 32
LCM(54,16,160) = ( 54 × 16 × 160 ) / 32
LCM(54,16,160) = 138240 / 32
LCM(54,16,160) = 4320
Lets's calculate GCF of 232,326,848
2 | 232, 326, 848 |
116, 163, 424 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4320/2
Therefore the LCM of Fractions 54/232,16/326,160/848 is 2160
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 232,326,848 . The biggest common factor number is the GCF number.
So the greatest common factor 232,326,848 is 2.
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 54/232, 16/326, 160/848?
Answer: LCM of Numerators as per given numbers 54/232, 16/326, 160/848 is
LCM of Numerators i.e. for 54,16,160 is 4320
GCF of denominators i.e. for 232,326,848 is 2.
Thus, LCM of Fractions is 2160.Finally, LCM of Fractions for 54/232, 16/326, 160/848 is 2160.