Least Common Multiple of 54/63, 71/20, 71/58, 64/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/63, 71/20, 71/58, 64/256 quickly i.e. 122688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/63, 71/20, 71/58, 64/256 is 122688.

LCM(54/63, 71/20, 71/58, 64/256) = 122688

LCM of 54/63, 71/20, 71/58, 64/256

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 54/63,71/20,71/58,64/256

Given numbers are 54/63,71/20,71/58,64/256

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 54,71,71,64

Least Common Multiple of Numerators i.e. LCM of 54,71,71,64 is 122688.

GCF of Denominators means GCF of 63,20,58,256 as per the given fractions.

GCF of 63,20,58,256 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,71,71,64

LCM of Fractions 54/63,71/20,71/58,64/256 is 122688

2 54, 71, 71, 64
71 27, 71, 71, 32
27, 1, 1, 32

∴ So the LCM of the given numbers is 2 x 71 x 27 x 1 x 1 x 32 = 122688

Least Common Multiple of 54,71,71,64 with GCF Formula

Least Common Multiple of 54,71,71,64 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 54,71,71,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,71,71,64) = 1

common factors(in case of two or more numbers have common factors) = 142

GCF(54,71,71,64) x common factors =1 x 142 = 142

LCM(54,71,71,64) = ( 54 × 71 × 71 × 64 ) / 142

LCM(54,71,71,64) = 17421696 / 142

LCM(54,71,71,64) = 122688


Lets's calculate GCF of 63,20,58,256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122688/1

Therefore the LCM of Fractions 54/63,71/20,71/58,64/256 is 122688

Greatest Common Factor of 63,20,58,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,20,58,256 By Matching Biggest Common Factor Method

Factors of 63

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

1,3,7,9,21,63

Factors of 20

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

1,2,4,5,10,20

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 63,20,58,256 . The biggest common factor number is the GCF number.
So the greatest common factor 63,20,58,256 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 54/63, 71/20, 71/58, 64/256

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 54/63, 71/20, 71/58, 64/256?

Answer: LCM of Numerators as per given numbers 54/63, 71/20, 71/58, 64/256 is

LCM of Numerators i.e. for 54,71,71,64 is 122688

GCF of denominators i.e. for 63,20,58,256 is 1.

Thus, LCM of Fractions is 122688.Finally, LCM of Fractions for 54/63, 71/20, 71/58, 64/256 is 122688.