Least Common Multiple of 96/27, 17/16, 14/90, 20/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/27, 17/16, 14/90, 20/586 quickly i.e. 57120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/27, 17/16, 14/90, 20/586 is 57120.

LCM(96/27, 17/16, 14/90, 20/586) = 57120

LCM of 96/27, 17/16, 14/90, 20/586

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 96/27,17/16,14/90,20/586

Given numbers are 96/27,17/16,14/90,20/586

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 96,17,14,20

Least Common Multiple of Numerators i.e. LCM of 96,17,14,20 is 57120.

GCF of Denominators means GCF of 27,16,90,586 as per the given fractions.

GCF of 27,16,90,586 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,17,14,20

LCM of Fractions 96/27,17/16,14/90,20/586 is 57120

2 96, 17, 14, 20
2 48, 17, 7, 10
24, 17, 7, 5

∴ So the LCM of the given numbers is 2 x 2 x 24 x 17 x 7 x 5 = 57120

Least Common Multiple of 96,17,14,20 with GCF Formula

Least Common Multiple of 96,17,14,20 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 96,17,14,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,17,14,20) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(96,17,14,20) x common factors =1 x 8 = 8

LCM(96,17,14,20) = ( 96 × 17 × 14 × 20 ) / 8

LCM(96,17,14,20) = 456960 / 8

LCM(96,17,14,20) = 57120


Lets's calculate GCF of 27,16,90,586

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57120/1

Therefore the LCM of Fractions 96/27,17/16,14/90,20/586 is 57120

Greatest Common Factor of 27,16,90,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,16,90,586 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

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 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 27,16,90,586 . The biggest common factor number is the GCF number.
So the greatest common factor 27,16,90,586 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 96/27, 17/16, 14/90, 20/586

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 96/27, 17/16, 14/90, 20/586?

Answer: LCM of Numerators as per given numbers 96/27, 17/16, 14/90, 20/586 is

LCM of Numerators i.e. for 96,17,14,20 is 57120

GCF of denominators i.e. for 27,16,90,586 is 1.

Thus, LCM of Fractions is 57120.Finally, LCM of Fractions for 96/27, 17/16, 14/90, 20/586 is 57120.