Least Common Multiple of 843/27, 136/8742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 843/27, 136/8742 quickly i.e. 38216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 843/27, 136/8742 is 38216.

LCM(843/27, 136/8742) = 38216

LCM of 843/27, 136/8742

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 843/27,136/8742

Given numbers are 843/27,136/8742

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 843,136

Least Common Multiple of Numerators i.e. LCM of 843,136 is 114648.

GCF of Denominators means GCF of 27,8742 as per the given fractions.

GCF of 27,8742 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 843,136

LCM of Fractions 843/27,136/8742 is 38216

Given numbers has no common factors except 1. So, there LCM is their product i.e 114648

Least Common Multiple of 843,136 with GCF Formula

Least Common Multiple of 843,136 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 843,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,136) = 1

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

GCF(843,136) x common factors =1 x 1 = 1

LCM(843,136) = ( 843 × 136 ) / 1

LCM(843,136) = 114648 / 1

LCM(843,136) = 114648


Lets's calculate GCF of 27,8742

3 27, 8742
9, 2914

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114648/3

Therefore the LCM of Fractions 843/27,136/8742 is 38216

Greatest Common Factor of 27,8742 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,8742 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 8742

List of positive integer factors of 8742 that divides 8742 without a remainder.

1,2,3,6,31,47,62,93,94,141,186,282,1457,2914,4371,8742

Greatest Common Factor

We found the factors 27,8742 . The biggest common factor number is the GCF number.
So the greatest common factor 27,8742 is 3.


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 843/27, 136/8742

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 843/27, 136/8742?

Answer: LCM of Numerators as per given numbers 843/27, 136/8742 is

LCM of Numerators i.e. for 843,136 is 114648

GCF of denominators i.e. for 27,8742 is 3.

Thus, LCM of Fractions is 38216.Finally, LCM of Fractions for 843/27, 136/8742 is 38216.