Least Common Multiple of 81/28, 47/90, 38/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/28, 47/90, 38/659 quickly i.e. 144666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/28, 47/90, 38/659 is 144666.

LCM(81/28, 47/90, 38/659) = 144666

LCM of 81/28, 47/90, 38/659

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 81/28,47/90,38/659

Given numbers are 81/28,47/90,38/659

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 81,47,38

Least Common Multiple of Numerators i.e. LCM of 81,47,38 is 144666.

GCF of Denominators means GCF of 28,90,659 as per the given fractions.

GCF of 28,90,659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,47,38

LCM of Fractions 81/28,47/90,38/659 is 144666

Given numbers has no common factors except 1. So, there LCM is their product i.e 144666

Least Common Multiple of 81,47,38 with GCF Formula

Least Common Multiple of 81,47,38 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 81,47,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,47,38) = 1

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

GCF(81,47,38) x common factors =1 x 1 = 1

LCM(81,47,38) = ( 81 × 47 × 38 ) / 1

LCM(81,47,38) = 144666 / 1

LCM(81,47,38) = 144666


Lets's calculate GCF of 28,90,659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144666/1

Therefore the LCM of Fractions 81/28,47/90,38/659 is 144666

Greatest Common Factor of 28,90,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,90,659 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 28,90,659 . The biggest common factor number is the GCF number.
So the greatest common factor 28,90,659 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 81/28, 47/90, 38/659

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 81/28, 47/90, 38/659?

Answer: LCM of Numerators as per given numbers 81/28, 47/90, 38/659 is

LCM of Numerators i.e. for 81,47,38 is 144666

GCF of denominators i.e. for 28,90,659 is 1.

Thus, LCM of Fractions is 144666.Finally, LCM of Fractions for 81/28, 47/90, 38/659 is 144666.