Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/25, 93/76, 33/75, 11/133 quickly i.e. 8184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/25, 93/76, 33/75, 11/133 is 8184.
LCM(88/25, 93/76, 33/75, 11/133) = 8184
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/25,93/76,33/75,11/133
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 88,93,33,11
Least Common Multiple of Numerators i.e. LCM of 88,93,33,11 is 8184.
GCF of Denominators means GCF of 25,76,75,133 as per the given fractions.
GCF of 25,76,75,133 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,93,33,11
3 | 88, 93, 33, 11 |
11 | 88, 31, 11, 11 |
8, 31, 1, 1 |
∴ So the LCM of the given numbers is 3 x 11 x 8 x 31 x 1 x 1 = 8184
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 88,93,33,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,93,33,11) = 1
common factors(in case of two or more numbers have common factors) = 363
GCF(88,93,33,11) x common factors =1 x 363 = 363
LCM(88,93,33,11) = ( 88 × 93 × 33 × 11 ) / 363
LCM(88,93,33,11) = 2970792 / 363
LCM(88,93,33,11) = 8184
Lets's calculate GCF of 25,76,75,133
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8184/1
Therefore the LCM of Fractions 88/25,93/76,33/75,11/133 is 8184
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Greatest Common Factor
We found the factors 25,76,75,133 . The biggest common factor number is the GCF number.
So the greatest common factor 25,76,75,133 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 88/25, 93/76, 33/75, 11/133?
Answer: LCM of Numerators as per given numbers 88/25, 93/76, 33/75, 11/133 is
LCM of Numerators i.e. for 88,93,33,11 is 8184
GCF of denominators i.e. for 25,76,75,133 is 1.
Thus, LCM of Fractions is 8184.Finally, LCM of Fractions for 88/25, 93/76, 33/75, 11/133 is 8184.