Least Common Multiple of 13/44, 53/27, 20/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/44, 53/27, 20/201 quickly i.e. 13780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/44, 53/27, 20/201 is 13780.

LCM(13/44, 53/27, 20/201) = 13780

LCM of 13/44, 53/27, 20/201

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 13/44,53/27,20/201

Given numbers are 13/44,53/27,20/201

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 13,53,20

Least Common Multiple of Numerators i.e. LCM of 13,53,20 is 13780.

GCF of Denominators means GCF of 44,27,201 as per the given fractions.

GCF of 44,27,201 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,53,20

LCM of Fractions 13/44,53/27,20/201 is 13780

Given numbers has no common factors except 1. So, there LCM is their product i.e 13780

Least Common Multiple of 13,53,20 with GCF Formula

Least Common Multiple of 13,53,20 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 13,53,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,53,20) = 1

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

GCF(13,53,20) x common factors =1 x 1 = 1

LCM(13,53,20) = ( 13 × 53 × 20 ) / 1

LCM(13,53,20) = 13780 / 1

LCM(13,53,20) = 13780


Lets's calculate GCF of 44,27,201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13780/1

Therefore the LCM of Fractions 13/44,53/27,20/201 is 13780

Greatest Common Factor of 44,27,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,27,201 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 44,27,201 . The biggest common factor number is the GCF number.
So the greatest common factor 44,27,201 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/44, 53/27, 20/201

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 13/44, 53/27, 20/201?

Answer: LCM of Numerators as per given numbers 13/44, 53/27, 20/201 is

LCM of Numerators i.e. for 13,53,20 is 13780

GCF of denominators i.e. for 44,27,201 is 1.

Thus, LCM of Fractions is 13780.Finally, LCM of Fractions for 13/44, 53/27, 20/201 is 13780.