Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/32, 66/91, 96/571 quickly i.e. 1056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/32, 66/91, 96/571 is 1056.
LCM(88/32, 66/91, 96/571) = 1056
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/32,66/91,96/571
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 88,66,96
Least Common Multiple of Numerators i.e. LCM of 88,66,96 is 1056.
GCF of Denominators means GCF of 32,91,571 as per the given fractions.
GCF of 32,91,571 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,66,96
2 | 88, 66, 96 |
2 | 44, 33, 48 |
2 | 22, 33, 24 |
3 | 11, 33, 12 |
11 | 11, 11, 4 |
1, 1, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 1 x 1 x 4 = 1056
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 88,66,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,66,96) = 2
common factors(in case of two or more numbers have common factors) = 264
GCF(88,66,96) x common factors =2 x 264 = 528
LCM(88,66,96) = ( 88 × 66 × 96 ) / 528
LCM(88,66,96) = 557568 / 528
LCM(88,66,96) = 1056
Lets's calculate GCF of 32,91,571
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1056/1
Therefore the LCM of Fractions 88/32,66/91,96/571 is 1056
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 571
List of positive integer factors of 571 that divides 571 without a remainder.
1,571
Greatest Common Factor
We found the factors 32,91,571 . The biggest common factor number is the GCF number.
So the greatest common factor 32,91,571 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 88/32, 66/91, 96/571?
Answer: LCM of Numerators as per given numbers 88/32, 66/91, 96/571 is
LCM of Numerators i.e. for 88,66,96 is 1056
GCF of denominators i.e. for 32,91,571 is 1.
Thus, LCM of Fractions is 1056.Finally, LCM of Fractions for 88/32, 66/91, 96/571 is 1056.