Least Common Multiple of 192/20, 846/8535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 192/20, 846/8535 quickly i.e. 27072/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 192/20, 846/8535 is 27072/5.

LCM(192/20, 846/8535) = 27072/5

LCM of 192/20, 846/8535

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 192/20,846/8535

Given numbers are 192/20,846/8535

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 192,846

Least Common Multiple of Numerators i.e. LCM of 192,846 is 27072.

GCF of Denominators means GCF of 20,8535 as per the given fractions.

GCF of 20,8535 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 192,846

LCM of Fractions 192/20,846/8535 is 27072/5

2 192, 846
3 96, 423
32, 141

∴ So the LCM of the given numbers is 2 x 3 x 32 x 141 = 27072

Least Common Multiple of 192,846 with GCF Formula

Least Common Multiple of 192,846 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 192,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,846) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(192,846) x common factors =6 x 1 = 6

LCM(192,846) = ( 192 × 846 ) / 6

LCM(192,846) = 162432 / 6

LCM(192,846) = 27072


Lets's calculate GCF of 20,8535

5 20, 8535
4, 1707

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27072/5

Therefore the LCM of Fractions 192/20,846/8535 is 27072/5

Greatest Common Factor of 20,8535 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,8535 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 8535

List of positive integer factors of 8535 that divides 8535 without a remainder.

1,3,5,15,569,1707,2845,8535

Greatest Common Factor

We found the factors 20,8535 . The biggest common factor number is the GCF number.
So the greatest common factor 20,8535 is 5.


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 192/20, 846/8535

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 192/20, 846/8535?

Answer: LCM of Numerators as per given numbers 192/20, 846/8535 is

LCM of Numerators i.e. for 192,846 is 27072

GCF of denominators i.e. for 20,8535 is 5.

Thus, LCM of Fractions is 27072/5.Finally, LCM of Fractions for 192/20, 846/8535 is 27072/5.