Least Common Multiple of 13/31, 21/58, 89/18, 16/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/31, 21/58, 89/18, 16/820 quickly i.e. 388752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/31, 21/58, 89/18, 16/820 is 388752.

LCM(13/31, 21/58, 89/18, 16/820) = 388752

LCM of 13/31, 21/58, 89/18, 16/820

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 13/31,21/58,89/18,16/820

Given numbers are 13/31,21/58,89/18,16/820

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 13,21,89,16

Least Common Multiple of Numerators i.e. LCM of 13,21,89,16 is 388752.

GCF of Denominators means GCF of 31,58,18,820 as per the given fractions.

GCF of 31,58,18,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,21,89,16

LCM of Fractions 13/31,21/58,89/18,16/820 is 388752

Given numbers has no common factors except 1. So, there LCM is their product i.e 388752

Least Common Multiple of 13,21,89,16 with GCF Formula

Least Common Multiple of 13,21,89,16 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 13,21,89,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,21,89,16) = 1

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

GCF(13,21,89,16) x common factors =1 x 1 = 1

LCM(13,21,89,16) = ( 13 × 21 × 89 × 16 ) / 1

LCM(13,21,89,16) = 388752 / 1

LCM(13,21,89,16) = 388752


Lets's calculate GCF of 31,58,18,820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 388752/1

Therefore the LCM of Fractions 13/31,21/58,89/18,16/820 is 388752

Greatest Common Factor of 31,58,18,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,58,18,820 By Matching Biggest Common Factor Method

Factors of 31

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

1,31

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 31,58,18,820 . The biggest common factor number is the GCF number.
So the greatest common factor 31,58,18,820 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 13/31, 21/58, 89/18, 16/820

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 13/31, 21/58, 89/18, 16/820?

Answer: LCM of Numerators as per given numbers 13/31, 21/58, 89/18, 16/820 is

LCM of Numerators i.e. for 13,21,89,16 is 388752

GCF of denominators i.e. for 31,58,18,820 is 1.

Thus, LCM of Fractions is 388752.Finally, LCM of Fractions for 13/31, 21/58, 89/18, 16/820 is 388752.