Least Common Multiple of 54/20, 31/18, 300/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/20, 31/18, 300/899 quickly i.e. 83700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/20, 31/18, 300/899 is 83700.

LCM(54/20, 31/18, 300/899) = 83700

LCM of 54/20, 31/18, 300/899

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 54/20,31/18,300/899

Given numbers are 54/20,31/18,300/899

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 54,31,300

Least Common Multiple of Numerators i.e. LCM of 54,31,300 is 83700.

GCF of Denominators means GCF of 20,18,899 as per the given fractions.

GCF of 20,18,899 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,31,300

LCM of Fractions 54/20,31/18,300/899 is 83700

2 54, 31, 300
3 27, 31, 150
9, 31, 50

∴ So the LCM of the given numbers is 2 x 3 x 9 x 31 x 50 = 83700

Least Common Multiple of 54,31,300 with GCF Formula

Least Common Multiple of 54,31,300 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 54,31,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,31,300) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(54,31,300) x common factors =1 x 6 = 6

LCM(54,31,300) = ( 54 × 31 × 300 ) / 6

LCM(54,31,300) = 502200 / 6

LCM(54,31,300) = 83700


Lets's calculate GCF of 20,18,899

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83700/1

Therefore the LCM of Fractions 54/20,31/18,300/899 is 83700

Greatest Common Factor of 20,18,899 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,18,899 By Matching Biggest Common Factor Method

Factors of 20

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

1,2,4,5,10,20

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Greatest Common Factor

We found the factors 20,18,899 . The biggest common factor number is the GCF number.
So the greatest common factor 20,18,899 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 54/20, 31/18, 300/899

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 54/20, 31/18, 300/899?

Answer: LCM of Numerators as per given numbers 54/20, 31/18, 300/899 is

LCM of Numerators i.e. for 54,31,300 is 83700

GCF of denominators i.e. for 20,18,899 is 1.

Thus, LCM of Fractions is 83700.Finally, LCM of Fractions for 54/20, 31/18, 300/899 is 83700.