Least Common Multiple of 47/99, 23/71, 27/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 47/99, 23/71, 27/387 quickly i.e. 29187 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/99, 23/71, 27/387 is 29187.

LCM(47/99, 23/71, 27/387) = 29187

LCM of 47/99, 23/71, 27/387

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 47/99,23/71,27/387

Given numbers are 47/99,23/71,27/387

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 47,23,27

Least Common Multiple of Numerators i.e. LCM of 47,23,27 is 29187.

GCF of Denominators means GCF of 99,71,387 as per the given fractions.

GCF of 99,71,387 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,23,27

LCM of Fractions 47/99,23/71,27/387 is 29187

Given numbers has no common factors except 1. So, there LCM is their product i.e 29187

Least Common Multiple of 47,23,27 with GCF Formula

Least Common Multiple of 47,23,27 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 47,23,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,23,27) = 1

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

GCF(47,23,27) x common factors =1 x 1 = 1

LCM(47,23,27) = ( 47 × 23 × 27 ) / 1

LCM(47,23,27) = 29187 / 1

LCM(47,23,27) = 29187


Lets's calculate GCF of 99,71,387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29187/1

Therefore the LCM of Fractions 47/99,23/71,27/387 is 29187

Greatest Common Factor of 99,71,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,71,387 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 99,71,387 . The biggest common factor number is the GCF number.
So the greatest common factor 99,71,387 is 1.


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Frequently Asked Questions on Fractional LCM of 47/99, 23/71, 27/387

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 47/99, 23/71, 27/387?

Answer: LCM of Numerators as per given numbers 47/99, 23/71, 27/387 is

LCM of Numerators i.e. for 47,23,27 is 29187

GCF of denominators i.e. for 99,71,387 is 1.

Thus, LCM of Fractions is 29187.Finally, LCM of Fractions for 47/99, 23/71, 27/387 is 29187.