Least Common Multiple of 367/81, 136/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 367/81, 136/484 quickly i.e. 49912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 367/81, 136/484 is 49912.

LCM(367/81, 136/484) = 49912

LCM of 367/81, 136/484

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 367/81,136/484

Given numbers are 367/81,136/484

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 367,136

Least Common Multiple of Numerators i.e. LCM of 367,136 is 49912.

GCF of Denominators means GCF of 81,484 as per the given fractions.

GCF of 81,484 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 367,136

LCM of Fractions 367/81,136/484 is 49912

Given numbers has no common factors except 1. So, there LCM is their product i.e 49912

Least Common Multiple of 367,136 with GCF Formula

Least Common Multiple of 367,136 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 367,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,136) = 1

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

GCF(367,136) x common factors =1 x 1 = 1

LCM(367,136) = ( 367 × 136 ) / 1

LCM(367,136) = 49912 / 1

LCM(367,136) = 49912


Lets's calculate GCF of 81,484

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49912/1

Therefore the LCM of Fractions 367/81,136/484 is 49912

Greatest Common Factor of 81,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,484 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 81,484 . The biggest common factor number is the GCF number.
So the greatest common factor 81,484 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 367/81, 136/484

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 367/81, 136/484?

Answer: LCM of Numerators as per given numbers 367/81, 136/484 is

LCM of Numerators i.e. for 367,136 is 49912

GCF of denominators i.e. for 81,484 is 1.

Thus, LCM of Fractions is 49912.Finally, LCM of Fractions for 367/81, 136/484 is 49912.