Least Common Multiple of 8/43, 9/32, 9/52, 86/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/43, 9/32, 9/52, 86/192 quickly i.e. 3096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/43, 9/32, 9/52, 86/192 is 3096.

LCM(8/43, 9/32, 9/52, 86/192) = 3096

LCM of 8/43, 9/32, 9/52, 86/192

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 8/43,9/32,9/52,86/192

Given numbers are 8/43,9/32,9/52,86/192

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 8,9,9,86

Least Common Multiple of Numerators i.e. LCM of 8,9,9,86 is 3096.

GCF of Denominators means GCF of 43,32,52,192 as per the given fractions.

GCF of 43,32,52,192 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,9,9,86

LCM of Fractions 8/43,9/32,9/52,86/192 is 3096

2 8, 9, 9, 86
3 4, 9, 9, 43
3 4, 3, 3, 43
4, 1, 1, 43

∴ So the LCM of the given numbers is 2 x 3 x 3 x 4 x 1 x 1 x 43 = 3096

Least Common Multiple of 8,9,9,86 with GCF Formula

Least Common Multiple of 8,9,9,86 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 8,9,9,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,9,9,86) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(8,9,9,86) x common factors =1 x 18 = 18

LCM(8,9,9,86) = ( 8 × 9 × 9 × 86 ) / 18

LCM(8,9,9,86) = 55728 / 18

LCM(8,9,9,86) = 3096


Lets's calculate GCF of 43,32,52,192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3096/1

Therefore the LCM of Fractions 8/43,9/32,9/52,86/192 is 3096

Greatest Common Factor of 43,32,52,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,32,52,192 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 43,32,52,192 . The biggest common factor number is the GCF number.
So the greatest common factor 43,32,52,192 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 8/43, 9/32, 9/52, 86/192

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 8/43, 9/32, 9/52, 86/192?

Answer: LCM of Numerators as per given numbers 8/43, 9/32, 9/52, 86/192 is

LCM of Numerators i.e. for 8,9,9,86 is 3096

GCF of denominators i.e. for 43,32,52,192 is 1.

Thus, LCM of Fractions is 3096.Finally, LCM of Fractions for 8/43, 9/32, 9/52, 86/192 is 3096.