Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/96, 39/39, 29/22, 93/177 quickly i.e. 2559453 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/96, 39/39, 29/22, 93/177 is 2559453.
LCM(73/96, 39/39, 29/22, 93/177) = 2559453
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/96,39/39,29/22,93/177
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 73,39,29,93
Least Common Multiple of Numerators i.e. LCM of 73,39,29,93 is 2559453.
GCF of Denominators means GCF of 96,39,22,177 as per the given fractions.
GCF of 96,39,22,177 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,39,29,93
3 | 73, 39, 29, 93 |
73, 13, 29, 31 |
∴ So the LCM of the given numbers is 3 x 73 x 13 x 29 x 31 = 2559453
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 73,39,29,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,39,29,93) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(73,39,29,93) x common factors =1 x 3 = 3
LCM(73,39,29,93) = ( 73 × 39 × 29 × 93 ) / 3
LCM(73,39,29,93) = 7678359 / 3
LCM(73,39,29,93) = 2559453
Lets's calculate GCF of 96,39,22,177
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2559453/1
Therefore the LCM of Fractions 73/96,39/39,29/22,93/177 is 2559453
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Greatest Common Factor
We found the factors 96,39,22,177 . The biggest common factor number is the GCF number.
So the greatest common factor 96,39,22,177 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 73/96, 39/39, 29/22, 93/177?
Answer: LCM of Numerators as per given numbers 73/96, 39/39, 29/22, 93/177 is
LCM of Numerators i.e. for 73,39,29,93 is 2559453
GCF of denominators i.e. for 96,39,22,177 is 1.
Thus, LCM of Fractions is 2559453.Finally, LCM of Fractions for 73/96, 39/39, 29/22, 93/177 is 2559453.