Least Common Multiple of 21/31, 57/75, 16/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/31, 57/75, 16/48 quickly i.e. 6384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/31, 57/75, 16/48 is 6384.

LCM(21/31, 57/75, 16/48) = 6384

LCM of 21/31, 57/75, 16/48

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 21/31,57/75,16/48

Given numbers are 21/31,57/75,16/48

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 21,57,16

Least Common Multiple of Numerators i.e. LCM of 21,57,16 is 6384.

GCF of Denominators means GCF of 31,75,48 as per the given fractions.

GCF of 31,75,48 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,57,16

LCM of Fractions 21/31,57/75,16/48 is 6384

3 21, 57, 16
7, 19, 16

∴ So the LCM of the given numbers is 3 x 7 x 19 x 16 = 6384

Least Common Multiple of 21,57,16 with GCF Formula

Least Common Multiple of 21,57,16 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 21,57,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,57,16) = 1

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

GCF(21,57,16) x common factors =1 x 3 = 3

LCM(21,57,16) = ( 21 × 57 × 16 ) / 3

LCM(21,57,16) = 19152 / 3

LCM(21,57,16) = 6384


Lets's calculate GCF of 31,75,48

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6384/1

Therefore the LCM of Fractions 21/31,57/75,16/48 is 6384

Greatest Common Factor of 31,75,48 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,75,48 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 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

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

Greatest Common Factor

We found the factors 31,75,48 . The biggest common factor number is the GCF number.
So the greatest common factor 31,75,48 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 21/31, 57/75, 16/48

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 21/31, 57/75, 16/48?

Answer: LCM of Numerators as per given numbers 21/31, 57/75, 16/48 is

LCM of Numerators i.e. for 21,57,16 is 6384

GCF of denominators i.e. for 31,75,48 is 1.

Thus, LCM of Fractions is 6384.Finally, LCM of Fractions for 21/31, 57/75, 16/48 is 6384.