Least Common Multiple of 17/90, 96/82, 96/99, 27/887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/90, 96/82, 96/99, 27/887 quickly i.e. 14688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/90, 96/82, 96/99, 27/887 is 14688.

LCM(17/90, 96/82, 96/99, 27/887) = 14688

LCM of 17/90, 96/82, 96/99, 27/887

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 17/90,96/82,96/99,27/887

Given numbers are 17/90,96/82,96/99,27/887

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 17,96,96,27

Least Common Multiple of Numerators i.e. LCM of 17,96,96,27 is 14688.

GCF of Denominators means GCF of 90,82,99,887 as per the given fractions.

GCF of 90,82,99,887 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,96,96,27

LCM of Fractions 17/90,96/82,96/99,27/887 is 14688

2 17, 96, 96, 27
2 17, 48, 48, 27
2 17, 24, 24, 27
2 17, 12, 12, 27
2 17, 6, 6, 27
3 17, 3, 3, 27
17, 1, 1, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 17 x 1 x 1 x 9 = 14688

Least Common Multiple of 17,96,96,27 with GCF Formula

Least Common Multiple of 17,96,96,27 with GCF Formula

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 17,96,96,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,96,96,27) = 1

common factors(in case of two or more numbers have common factors) = 288

GCF(17,96,96,27) x common factors =1 x 288 = 288

LCM(17,96,96,27) = ( 17 × 96 × 96 × 27 ) / 288

LCM(17,96,96,27) = 4230144 / 288

LCM(17,96,96,27) = 14688


Lets's calculate GCF of 90,82,99,887

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14688/1

Therefore the LCM of Fractions 17/90,96/82,96/99,27/887 is 14688

Greatest Common Factor of 90,82,99,887 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,82,99,887 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Greatest Common Factor

We found the factors 90,82,99,887 . The biggest common factor number is the GCF number.
So the greatest common factor 90,82,99,887 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 17/90, 96/82, 96/99, 27/887

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 17/90, 96/82, 96/99, 27/887?

Answer: LCM of Numerators as per given numbers 17/90, 96/82, 96/99, 27/887 is

LCM of Numerators i.e. for 17,96,96,27 is 14688

GCF of denominators i.e. for 90,82,99,887 is 1.

Thus, LCM of Fractions is 14688.Finally, LCM of Fractions for 17/90, 96/82, 96/99, 27/887 is 14688.