Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/14, 64/45, 81/532 quickly i.e. 160704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/14, 64/45, 81/532 is 160704.
LCM(93/14, 64/45, 81/532) = 160704
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/14,64/45,81/532
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 93,64,81
Least Common Multiple of Numerators i.e. LCM of 93,64,81 is 160704.
GCF of Denominators means GCF of 14,45,532 as per the given fractions.
GCF of 14,45,532 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,64,81
3 | 93, 64, 81 |
31, 64, 27 |
∴ So the LCM of the given numbers is 3 x 31 x 64 x 27 = 160704
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 93,64,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,64,81) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(93,64,81) x common factors =1 x 3 = 3
LCM(93,64,81) = ( 93 × 64 × 81 ) / 3
LCM(93,64,81) = 482112 / 3
LCM(93,64,81) = 160704
Lets's calculate GCF of 14,45,532
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160704/1
Therefore the LCM of Fractions 93/14,64/45,81/532 is 160704
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 14,45,532 . The biggest common factor number is the GCF number.
So the greatest common factor 14,45,532 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 93/14, 64/45, 81/532?
Answer: LCM of Numerators as per given numbers 93/14, 64/45, 81/532 is
LCM of Numerators i.e. for 93,64,81 is 160704
GCF of denominators i.e. for 14,45,532 is 1.
Thus, LCM of Fractions is 160704.Finally, LCM of Fractions for 93/14, 64/45, 81/532 is 160704.