Least Common Multiple of 32/21, 54/63, 384/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/21, 54/63, 384/857 quickly i.e. 3456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/21, 54/63, 384/857 is 3456.

LCM(32/21, 54/63, 384/857) = 3456

LCM of 32/21, 54/63, 384/857

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 32/21,54/63,384/857

Given numbers are 32/21,54/63,384/857

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 32,54,384

Least Common Multiple of Numerators i.e. LCM of 32,54,384 is 3456.

GCF of Denominators means GCF of 21,63,857 as per the given fractions.

GCF of 21,63,857 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,54,384

LCM of Fractions 32/21,54/63,384/857 is 3456

2 32, 54, 384
2 16, 27, 192
2 8, 27, 96
2 4, 27, 48
2 2, 27, 24
3 1, 27, 12
1, 9, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 1 x 9 x 4 = 3456

Least Common Multiple of 32,54,384 with GCF Formula

Least Common Multiple of 32,54,384 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 32,54,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,54,384) = 2

common factors(in case of two or more numbers have common factors) = 96

GCF(32,54,384) x common factors =2 x 96 = 192

LCM(32,54,384) = ( 32 × 54 × 384 ) / 192

LCM(32,54,384) = 663552 / 192

LCM(32,54,384) = 3456


Lets's calculate GCF of 21,63,857

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3456/1

Therefore the LCM of Fractions 32/21,54/63,384/857 is 3456

Greatest Common Factor of 21,63,857 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,63,857 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Greatest Common Factor

We found the factors 21,63,857 . The biggest common factor number is the GCF number.
So the greatest common factor 21,63,857 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 32/21, 54/63, 384/857

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 32/21, 54/63, 384/857?

Answer: LCM of Numerators as per given numbers 32/21, 54/63, 384/857 is

LCM of Numerators i.e. for 32,54,384 is 3456

GCF of denominators i.e. for 21,63,857 is 1.

Thus, LCM of Fractions is 3456.Finally, LCM of Fractions for 32/21, 54/63, 384/857 is 3456.