Least Common Multiple of 13/50, 20/82, 47/31, 89/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/50, 20/82, 47/31, 89/76 quickly i.e. 1087580 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, 20/82, 47/31, 89/76 is 1087580.

LCM(13/50, 20/82, 47/31, 89/76) = 1087580

LCM of 13/50, 20/82, 47/31, 89/76

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 13/50,20/82,47/31,89/76

Given numbers are 13/50,20/82,47/31,89/76

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 13,20,47,89

Least Common Multiple of Numerators i.e. LCM of 13,20,47,89 is 1087580.

GCF of Denominators means GCF of 50,82,31,76 as per the given fractions.

GCF of 50,82,31,76 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,20,47,89

LCM of Fractions 13/50,20/82,47/31,89/76 is 1087580

Given numbers has no common factors except 1. So, there LCM is their product i.e 1087580

Least Common Multiple of 13,20,47,89 with GCF Formula

Least Common Multiple of 13,20,47,89 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 13,20,47,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,20,47,89) = 1

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

GCF(13,20,47,89) x common factors =1 x 1 = 1

LCM(13,20,47,89) = ( 13 × 20 × 47 × 89 ) / 1

LCM(13,20,47,89) = 1087580 / 1

LCM(13,20,47,89) = 1087580


Lets's calculate GCF of 50,82,31,76

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1087580/1

Therefore the LCM of Fractions 13/50,20/82,47/31,89/76 is 1087580

Greatest Common Factor of 50,82,31,76 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,82,31,76 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 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Greatest Common Factor

We found the factors 50,82,31,76 . The biggest common factor number is the GCF number.
So the greatest common factor 50,82,31,76 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, 20/82, 47/31, 89/76

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, 20/82, 47/31, 89/76?

Answer: LCM of Numerators as per given numbers 13/50, 20/82, 47/31, 89/76 is

LCM of Numerators i.e. for 13,20,47,89 is 1087580

GCF of denominators i.e. for 50,82,31,76 is 1.

Thus, LCM of Fractions is 1087580.Finally, LCM of Fractions for 13/50, 20/82, 47/31, 89/76 is 1087580.