Least Common Multiple of 47/96, 31/67, 83/81, 23/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/96, 31/67, 83/81, 23/906 quickly i.e. 2781413 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/96, 31/67, 83/81, 23/906 is 2781413.

LCM(47/96, 31/67, 83/81, 23/906) = 2781413

LCM of 47/96, 31/67, 83/81, 23/906

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 47/96,31/67,83/81,23/906

Given numbers are 47/96,31/67,83/81,23/906

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 47,31,83,23

Least Common Multiple of Numerators i.e. LCM of 47,31,83,23 is 2781413.

GCF of Denominators means GCF of 96,67,81,906 as per the given fractions.

GCF of 96,67,81,906 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,31,83,23

LCM of Fractions 47/96,31/67,83/81,23/906 is 2781413

Given numbers has no common factors except 1. So, there LCM is their product i.e 2781413

Least Common Multiple of 47,31,83,23 with GCF Formula

Least Common Multiple of 47,31,83,23 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 47,31,83,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,31,83,23) = 1

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

GCF(47,31,83,23) x common factors =1 x 1 = 1

LCM(47,31,83,23) = ( 47 × 31 × 83 × 23 ) / 1

LCM(47,31,83,23) = 2781413 / 1

LCM(47,31,83,23) = 2781413


Lets's calculate GCF of 96,67,81,906

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2781413/1

Therefore the LCM of Fractions 47/96,31/67,83/81,23/906 is 2781413

Greatest Common Factor of 96,67,81,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,67,81,906 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

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

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 81

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

1,3,9,27,81

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 96,67,81,906 . The biggest common factor number is the GCF number.
So the greatest common factor 96,67,81,906 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 47/96, 31/67, 83/81, 23/906

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 47/96, 31/67, 83/81, 23/906?

Answer: LCM of Numerators as per given numbers 47/96, 31/67, 83/81, 23/906 is

LCM of Numerators i.e. for 47,31,83,23 is 2781413

GCF of denominators i.e. for 96,67,81,906 is 1.

Thus, LCM of Fractions is 2781413.Finally, LCM of Fractions for 47/96, 31/67, 83/81, 23/906 is 2781413.