Least Common Multiple of 56/27, 19/87, 491/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/27, 19/87, 491/287 quickly i.e. 522424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/27, 19/87, 491/287 is 522424.

LCM(56/27, 19/87, 491/287) = 522424

LCM of 56/27, 19/87, 491/287

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 56/27,19/87,491/287

Given numbers are 56/27,19/87,491/287

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 56,19,491

Least Common Multiple of Numerators i.e. LCM of 56,19,491 is 522424.

GCF of Denominators means GCF of 27,87,287 as per the given fractions.

GCF of 27,87,287 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,19,491

LCM of Fractions 56/27,19/87,491/287 is 522424

Given numbers has no common factors except 1. So, there LCM is their product i.e 522424

Least Common Multiple of 56,19,491 with GCF Formula

Least Common Multiple of 56,19,491 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 56,19,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,19,491) = 1

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

GCF(56,19,491) x common factors =1 x 1 = 1

LCM(56,19,491) = ( 56 × 19 × 491 ) / 1

LCM(56,19,491) = 522424 / 1

LCM(56,19,491) = 522424


Lets's calculate GCF of 27,87,287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 522424/1

Therefore the LCM of Fractions 56/27,19/87,491/287 is 522424

Greatest Common Factor of 27,87,287 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,87,287 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Greatest Common Factor

We found the factors 27,87,287 . The biggest common factor number is the GCF number.
So the greatest common factor 27,87,287 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 56/27, 19/87, 491/287

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 56/27, 19/87, 491/287?

Answer: LCM of Numerators as per given numbers 56/27, 19/87, 491/287 is

LCM of Numerators i.e. for 56,19,491 is 522424

GCF of denominators i.e. for 27,87,287 is 1.

Thus, LCM of Fractions is 522424.Finally, LCM of Fractions for 56/27, 19/87, 491/287 is 522424.