Least Common Multiple of 27/33, 56/26, 754/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/33, 56/26, 754/399 quickly i.e. 570024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/33, 56/26, 754/399 is 570024.

LCM(27/33, 56/26, 754/399) = 570024

LCM of 27/33, 56/26, 754/399

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 27/33,56/26,754/399

Given numbers are 27/33,56/26,754/399

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 27,56,754

Least Common Multiple of Numerators i.e. LCM of 27,56,754 is 570024.

GCF of Denominators means GCF of 33,26,399 as per the given fractions.

GCF of 33,26,399 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,56,754

LCM of Fractions 27/33,56/26,754/399 is 570024

2 27, 56, 754
27, 28, 377

∴ So the LCM of the given numbers is 2 x 27 x 28 x 377 = 570024

Least Common Multiple of 27,56,754 with GCF Formula

Least Common Multiple of 27,56,754 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 27,56,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,56,754) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(27,56,754) x common factors =1 x 2 = 2

LCM(27,56,754) = ( 27 × 56 × 754 ) / 2

LCM(27,56,754) = 1140048 / 2

LCM(27,56,754) = 570024


Lets's calculate GCF of 33,26,399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 570024/1

Therefore the LCM of Fractions 27/33,56/26,754/399 is 570024

Greatest Common Factor of 33,26,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,26,399 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 33,26,399 . The biggest common factor number is the GCF number.
So the greatest common factor 33,26,399 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 27/33, 56/26, 754/399

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 27/33, 56/26, 754/399?

Answer: LCM of Numerators as per given numbers 27/33, 56/26, 754/399 is

LCM of Numerators i.e. for 27,56,754 is 570024

GCF of denominators i.e. for 33,26,399 is 1.

Thus, LCM of Fractions is 570024.Finally, LCM of Fractions for 27/33, 56/26, 754/399 is 570024.