Least Common Multiple of 489/80, 382/5187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/80, 382/5187 quickly i.e. 186798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/80, 382/5187 is 186798.

LCM(489/80, 382/5187) = 186798

LCM of 489/80, 382/5187

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 489/80,382/5187

Given numbers are 489/80,382/5187

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 489,382

Least Common Multiple of Numerators i.e. LCM of 489,382 is 186798.

GCF of Denominators means GCF of 80,5187 as per the given fractions.

GCF of 80,5187 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,382

LCM of Fractions 489/80,382/5187 is 186798

Given numbers has no common factors except 1. So, there LCM is their product i.e 186798

Least Common Multiple of 489,382 with GCF Formula

Least Common Multiple of 489,382 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 489,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,382) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(489,382) x common factors =1 x 1 = 1

LCM(489,382) = ( 489 × 382 ) / 1

LCM(489,382) = 186798 / 1

LCM(489,382) = 186798


Lets's calculate GCF of 80,5187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186798/1

Therefore the LCM of Fractions 489/80,382/5187 is 186798

Greatest Common Factor of 80,5187 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,5187 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 5187

List of positive integer factors of 5187 that divides 5187 without a remainder.

1,3,7,13,19,21,39,57,91,133,247,273,399,741,1729,5187

Greatest Common Factor

We found the factors 80,5187 . The biggest common factor number is the GCF number.
So the greatest common factor 80,5187 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 489/80, 382/5187

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 489/80, 382/5187?

Answer: LCM of Numerators as per given numbers 489/80, 382/5187 is

LCM of Numerators i.e. for 489,382 is 186798

GCF of denominators i.e. for 80,5187 is 1.

Thus, LCM of Fractions is 186798.Finally, LCM of Fractions for 489/80, 382/5187 is 186798.