Least Common Multiple of 20/54, 64/63, 40/57, 18/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/54, 64/63, 40/57, 18/842 quickly i.e. 2880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/54, 64/63, 40/57, 18/842 is 2880.

LCM(20/54, 64/63, 40/57, 18/842) = 2880

LCM of 20/54, 64/63, 40/57, 18/842

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 20/54,64/63,40/57,18/842

Given numbers are 20/54,64/63,40/57,18/842

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 20,64,40,18

Least Common Multiple of Numerators i.e. LCM of 20,64,40,18 is 2880.

GCF of Denominators means GCF of 54,63,57,842 as per the given fractions.

GCF of 54,63,57,842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,64,40,18

LCM of Fractions 20/54,64/63,40/57,18/842 is 2880

2 20, 64, 40, 18
2 10, 32, 20, 9
2 5, 16, 10, 9
5 5, 8, 5, 9
1, 8, 1, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 8 x 1 x 9 = 2880

Least Common Multiple of 20,64,40,18 with GCF Formula

Least Common Multiple of 20,64,40,18 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 20,64,40,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,64,40,18) = 2

common factors(in case of two or more numbers have common factors) = 160

GCF(20,64,40,18) x common factors =2 x 160 = 320

LCM(20,64,40,18) = ( 20 × 64 × 40 × 18 ) / 320

LCM(20,64,40,18) = 921600 / 320

LCM(20,64,40,18) = 2880


Lets's calculate GCF of 54,63,57,842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2880/1

Therefore the LCM of Fractions 20/54,64/63,40/57,18/842 is 2880

Greatest Common Factor of 54,63,57,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,63,57,842 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 63

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

1,3,7,9,21,63

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 54,63,57,842 . The biggest common factor number is the GCF number.
So the greatest common factor 54,63,57,842 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 20/54, 64/63, 40/57, 18/842

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 20/54, 64/63, 40/57, 18/842?

Answer: LCM of Numerators as per given numbers 20/54, 64/63, 40/57, 18/842 is

LCM of Numerators i.e. for 20,64,40,18 is 2880

GCF of denominators i.e. for 54,63,57,842 is 1.

Thus, LCM of Fractions is 2880.Finally, LCM of Fractions for 20/54, 64/63, 40/57, 18/842 is 2880.