Least Common Multiple of 281/27, 212/9844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 281/27, 212/9844 quickly i.e. 59572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 281/27, 212/9844 is 59572.

LCM(281/27, 212/9844) = 59572

LCM of 281/27, 212/9844

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 281/27,212/9844

Given numbers are 281/27,212/9844

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 281,212

Least Common Multiple of Numerators i.e. LCM of 281,212 is 59572.

GCF of Denominators means GCF of 27,9844 as per the given fractions.

GCF of 27,9844 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 281,212

LCM of Fractions 281/27,212/9844 is 59572

Given numbers has no common factors except 1. So, there LCM is their product i.e 59572

Least Common Multiple of 281,212 with GCF Formula

Least Common Multiple of 281,212 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 281,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,212) = 1

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

GCF(281,212) x common factors =1 x 1 = 1

LCM(281,212) = ( 281 × 212 ) / 1

LCM(281,212) = 59572 / 1

LCM(281,212) = 59572


Lets's calculate GCF of 27,9844

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59572/1

Therefore the LCM of Fractions 281/27,212/9844 is 59572

Greatest Common Factor of 27,9844 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,9844 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 9844

List of positive integer factors of 9844 that divides 9844 without a remainder.

1,2,4,23,46,92,107,214,428,2461,4922,9844

Greatest Common Factor

We found the factors 27,9844 . The biggest common factor number is the GCF number.
So the greatest common factor 27,9844 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 281/27, 212/9844

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 281/27, 212/9844?

Answer: LCM of Numerators as per given numbers 281/27, 212/9844 is

LCM of Numerators i.e. for 281,212 is 59572

GCF of denominators i.e. for 27,9844 is 1.

Thus, LCM of Fractions is 59572.Finally, LCM of Fractions for 281/27, 212/9844 is 59572.