Least Common Multiple of 13/50, 16/52, 61/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/50, 16/52, 61/523 quickly i.e. 12688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/50, 16/52, 61/523 is 12688.

LCM(13/50, 16/52, 61/523) = 12688

LCM of 13/50, 16/52, 61/523

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 13/50,16/52,61/523

Given numbers are 13/50,16/52,61/523

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 13,16,61

Least Common Multiple of Numerators i.e. LCM of 13,16,61 is 12688.

GCF of Denominators means GCF of 50,52,523 as per the given fractions.

GCF of 50,52,523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,16,61

LCM of Fractions 13/50,16/52,61/523 is 12688

Given numbers has no common factors except 1. So, there LCM is their product i.e 12688

Least Common Multiple of 13,16,61 with GCF Formula

Least Common Multiple of 13,16,61 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 13,16,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,16,61) = 1

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

GCF(13,16,61) x common factors =1 x 1 = 1

LCM(13,16,61) = ( 13 × 16 × 61 ) / 1

LCM(13,16,61) = 12688 / 1

LCM(13,16,61) = 12688


Lets's calculate GCF of 50,52,523

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12688/1

Therefore the LCM of Fractions 13/50,16/52,61/523 is 12688

Greatest Common Factor of 50,52,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,52,523 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 50,52,523 . The biggest common factor number is the GCF number.
So the greatest common factor 50,52,523 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 13/50, 16/52, 61/523

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 13/50, 16/52, 61/523?

Answer: LCM of Numerators as per given numbers 13/50, 16/52, 61/523 is

LCM of Numerators i.e. for 13,16,61 is 12688

GCF of denominators i.e. for 50,52,523 is 1.

Thus, LCM of Fractions is 12688.Finally, LCM of Fractions for 13/50, 16/52, 61/523 is 12688.