Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1463/16, 5796/144 quickly i.e. 1211364/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1463/16, 5796/144 is 1211364/16.
LCM(1463/16, 5796/144) = 1211364/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1463/16,5796/144
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 1463,5796
Least Common Multiple of Numerators i.e. LCM of 1463,5796 is 1211364.
GCF of Denominators means GCF of 16,144 as per the given fractions.
GCF of 16,144 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1463,5796
7 | 1463, 5796 |
209, 828 |
∴ So the LCM of the given numbers is 7 x 209 x 828 = 1211364
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 1463,5796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1463,5796) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(1463,5796) x common factors =7 x 1 = 7
LCM(1463,5796) = ( 1463 × 5796 ) / 7
LCM(1463,5796) = 8479548 / 7
LCM(1463,5796) = 1211364
Lets's calculate GCF of 16,144
2 | 16, 144 |
2 | 8, 72 |
2 | 4, 36 |
2 | 2, 18 |
1, 9 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1211364/16
Therefore the LCM of Fractions 1463/16,5796/144 is 1211364/16
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
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
Greatest Common Factor
We found the factors 16,144 . The biggest common factor number is the GCF number.
So the greatest common factor 16,144 is 16.
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 1463/16, 5796/144?
Answer: LCM of Numerators as per given numbers 1463/16, 5796/144 is
LCM of Numerators i.e. for 1463,5796 is 1211364
GCF of denominators i.e. for 16,144 is 16.
Thus, LCM of Fractions is 1211364/16.Finally, LCM of Fractions for 1463/16, 5796/144 is 1211364/16.