Least Common Multiple of 131/729, 1688/433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 131/729, 1688/433 quickly i.e. 221128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 131/729, 1688/433 is 221128.

LCM(131/729, 1688/433) = 221128

LCM of 131/729, 1688/433

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 131/729,1688/433

Given numbers are 131/729,1688/433

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 131,1688

Least Common Multiple of Numerators i.e. LCM of 131,1688 is 221128.

GCF of Denominators means GCF of 729,433 as per the given fractions.

GCF of 729,433 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 131,1688

LCM of Fractions 131/729,1688/433 is 221128

Given numbers has no common factors except 1. So, there LCM is their product i.e 221128

Least Common Multiple of 131,1688 with GCF Formula

Least Common Multiple of 131,1688 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 131,1688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,1688) = 1

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

GCF(131,1688) x common factors =1 x 1 = 1

LCM(131,1688) = ( 131 × 1688 ) / 1

LCM(131,1688) = 221128 / 1

LCM(131,1688) = 221128


Lets's calculate GCF of 729,433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221128/1

Therefore the LCM of Fractions 131/729,1688/433 is 221128

Greatest Common Factor of 729,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,433 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Greatest Common Factor

We found the factors 729,433 . The biggest common factor number is the GCF number.
So the greatest common factor 729,433 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 131/729, 1688/433

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 131/729, 1688/433?

Answer: LCM of Numerators as per given numbers 131/729, 1688/433 is

LCM of Numerators i.e. for 131,1688 is 221128

GCF of denominators i.e. for 729,433 is 1.

Thus, LCM of Fractions is 221128.Finally, LCM of Fractions for 131/729, 1688/433 is 221128.