Least Common Multiple of 562/31, 296/6561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 562/31, 296/6561 quickly i.e. 83176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 562/31, 296/6561 is 83176.

LCM(562/31, 296/6561) = 83176

LCM of 562/31, 296/6561

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 562/31,296/6561

Given numbers are 562/31,296/6561

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 562,296

Least Common Multiple of Numerators i.e. LCM of 562,296 is 83176.

GCF of Denominators means GCF of 31,6561 as per the given fractions.

GCF of 31,6561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 562,296

LCM of Fractions 562/31,296/6561 is 83176

2 562, 296
281, 148

∴ So the LCM of the given numbers is 2 x 281 x 148 = 83176

Least Common Multiple of 562,296 with GCF Formula

Least Common Multiple of 562,296 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 562,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,296) = 2

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

GCF(562,296) x common factors =2 x 1 = 2

LCM(562,296) = ( 562 × 296 ) / 2

LCM(562,296) = 166352 / 2

LCM(562,296) = 83176


Lets's calculate GCF of 31,6561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83176/1

Therefore the LCM of Fractions 562/31,296/6561 is 83176

Greatest Common Factor of 31,6561 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,6561 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 6561

List of positive integer factors of 6561 that divides 6561 without a remainder.

1,3,9,27,81,243,729,2187,6561

Greatest Common Factor

We found the factors 31,6561 . The biggest common factor number is the GCF number.
So the greatest common factor 31,6561 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 562/31, 296/6561

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 562/31, 296/6561?

Answer: LCM of Numerators as per given numbers 562/31, 296/6561 is

LCM of Numerators i.e. for 562,296 is 83176

GCF of denominators i.e. for 31,6561 is 1.

Thus, LCM of Fractions is 83176.Finally, LCM of Fractions for 562/31, 296/6561 is 83176.