Least Common Multiple of 3/16, 5/48, 38/66, 27/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/16, 5/48, 38/66, 27/297 quickly i.e. 5130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/16, 5/48, 38/66, 27/297 is 5130.

LCM(3/16, 5/48, 38/66, 27/297) = 5130

LCM of 3/16, 5/48, 38/66, 27/297

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 3/16,5/48,38/66,27/297

Given numbers are 3/16,5/48,38/66,27/297

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 3,5,38,27

Least Common Multiple of Numerators i.e. LCM of 3,5,38,27 is 5130.

GCF of Denominators means GCF of 16,48,66,297 as per the given fractions.

GCF of 16,48,66,297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,5,38,27

LCM of Fractions 3/16,5/48,38/66,27/297 is 5130

3 3, 5, 38, 27
1, 5, 38, 9

∴ So the LCM of the given numbers is 3 x 1 x 5 x 38 x 9 = 5130

Least Common Multiple of 3,5,38,27 with GCF Formula

Least Common Multiple of 3,5,38,27 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 3,5,38,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,5,38,27) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(3,5,38,27) x common factors =1 x 3 = 3

LCM(3,5,38,27) = ( 3 × 5 × 38 × 27 ) / 3

LCM(3,5,38,27) = 15390 / 3

LCM(3,5,38,27) = 5130


Lets's calculate GCF of 16,48,66,297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5130/1

Therefore the LCM of Fractions 3/16,5/48,38/66,27/297 is 5130

Greatest Common Factor of 16,48,66,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,48,66,297 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 16,48,66,297 . The biggest common factor number is the GCF number.
So the greatest common factor 16,48,66,297 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 3/16, 5/48, 38/66, 27/297

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 3/16, 5/48, 38/66, 27/297?

Answer: LCM of Numerators as per given numbers 3/16, 5/48, 38/66, 27/297 is

LCM of Numerators i.e. for 3,5,38,27 is 5130

GCF of denominators i.e. for 16,48,66,297 is 1.

Thus, LCM of Fractions is 5130.Finally, LCM of Fractions for 3/16, 5/48, 38/66, 27/297 is 5130.