Least Common Multiple of 586/92, 489/1433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 586/92, 489/1433 quickly i.e. 286554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 586/92, 489/1433 is 286554.

LCM(586/92, 489/1433) = 286554

LCM of 586/92, 489/1433

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 586/92,489/1433

Given numbers are 586/92,489/1433

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 586,489

Least Common Multiple of Numerators i.e. LCM of 586,489 is 286554.

GCF of Denominators means GCF of 92,1433 as per the given fractions.

GCF of 92,1433 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 586,489

LCM of Fractions 586/92,489/1433 is 286554

Given numbers has no common factors except 1. So, there LCM is their product i.e 286554

Least Common Multiple of 586,489 with GCF Formula

Least Common Multiple of 586,489 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 586,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,489) = 1

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

GCF(586,489) x common factors =1 x 1 = 1

LCM(586,489) = ( 586 × 489 ) / 1

LCM(586,489) = 286554 / 1

LCM(586,489) = 286554


Lets's calculate GCF of 92,1433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 286554/1

Therefore the LCM of Fractions 586/92,489/1433 is 286554

Greatest Common Factor of 92,1433 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,1433 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 1433

List of positive integer factors of 1433 that divides 1433 without a remainder.

1,1433

Greatest Common Factor

We found the factors 92,1433 . The biggest common factor number is the GCF number.
So the greatest common factor 92,1433 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 586/92, 489/1433

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 586/92, 489/1433?

Answer: LCM of Numerators as per given numbers 586/92, 489/1433 is

LCM of Numerators i.e. for 586,489 is 286554

GCF of denominators i.e. for 92,1433 is 1.

Thus, LCM of Fractions is 286554.Finally, LCM of Fractions for 586/92, 489/1433 is 286554.