Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/64, 91/12, 24/80 quickly i.e. 546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/64, 91/12, 24/80 is 546.
LCM(14/64, 91/12, 24/80) = 546
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/64,91/12,24/80
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 14,91,24
Least Common Multiple of Numerators i.e. LCM of 14,91,24 is 2184.
GCF of Denominators means GCF of 64,12,80 as per the given fractions.
GCF of 64,12,80 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,91,24
2 | 14, 91, 24 |
7 | 7, 91, 12 |
1, 13, 12 |
∴ So the LCM of the given numbers is 2 x 7 x 1 x 13 x 12 = 2184
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 14,91,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,91,24) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(14,91,24) x common factors =1 x 14 = 14
LCM(14,91,24) = ( 14 × 91 × 24 ) / 14
LCM(14,91,24) = 30576 / 14
LCM(14,91,24) = 2184
Lets's calculate GCF of 64,12,80
2 | 64, 12, 80 |
2 | 32, 6, 40 |
16, 3, 20 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2184/4
Therefore the LCM of Fractions 14/64,91/12,24/80 is 546
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Greatest Common Factor
We found the factors 64,12,80 . The biggest common factor number is the GCF number.
So the greatest common factor 64,12,80 is 4.
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 14/64, 91/12, 24/80?
Answer: LCM of Numerators as per given numbers 14/64, 91/12, 24/80 is
LCM of Numerators i.e. for 14,91,24 is 2184
GCF of denominators i.e. for 64,12,80 is 4.
Thus, LCM of Fractions is 546.Finally, LCM of Fractions for 14/64, 91/12, 24/80 is 546.