Least Common Multiple of 27/20, 56/49, 56/56, 48/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/20, 56/49, 56/56, 48/296 quickly i.e. 3024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/20, 56/49, 56/56, 48/296 is 3024.

LCM(27/20, 56/49, 56/56, 48/296) = 3024

LCM of 27/20, 56/49, 56/56, 48/296

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 27/20,56/49,56/56,48/296

Given numbers are 27/20,56/49,56/56,48/296

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 27,56,56,48

Least Common Multiple of Numerators i.e. LCM of 27,56,56,48 is 3024.

GCF of Denominators means GCF of 20,49,56,296 as per the given fractions.

GCF of 20,49,56,296 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,56,56,48

LCM of Fractions 27/20,56/49,56/56,48/296 is 3024

2 27, 56, 56, 48
2 27, 28, 28, 24
2 27, 14, 14, 12
3 27, 7, 7, 6
7 9, 7, 7, 2
9, 1, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 9 x 1 x 1 x 2 = 3024

Least Common Multiple of 27,56,56,48 with GCF Formula

Least Common Multiple of 27,56,56,48 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 27,56,56,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,56,56,48) = 1

common factors(in case of two or more numbers have common factors) = 1344

GCF(27,56,56,48) x common factors =1 x 1344 = 1344

LCM(27,56,56,48) = ( 27 × 56 × 56 × 48 ) / 1344

LCM(27,56,56,48) = 4064256 / 1344

LCM(27,56,56,48) = 3024


Lets's calculate GCF of 20,49,56,296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3024/1

Therefore the LCM of Fractions 27/20,56/49,56/56,48/296 is 3024

Greatest Common Factor of 20,49,56,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,49,56,296 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 20,49,56,296 . The biggest common factor number is the GCF number.
So the greatest common factor 20,49,56,296 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 27/20, 56/49, 56/56, 48/296

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 27/20, 56/49, 56/56, 48/296?

Answer: LCM of Numerators as per given numbers 27/20, 56/49, 56/56, 48/296 is

LCM of Numerators i.e. for 27,56,56,48 is 3024

GCF of denominators i.e. for 20,49,56,296 is 1.

Thus, LCM of Fractions is 3024.Finally, LCM of Fractions for 27/20, 56/49, 56/56, 48/296 is 3024.