Least Common Multiple of 485/489, 6492/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 485/489, 6492/544 quickly i.e. 3148620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 485/489, 6492/544 is 3148620.

LCM(485/489, 6492/544) = 3148620

LCM of 485/489, 6492/544

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 485/489,6492/544

Given numbers are 485/489,6492/544

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 485,6492

Least Common Multiple of Numerators i.e. LCM of 485,6492 is 3148620.

GCF of Denominators means GCF of 489,544 as per the given fractions.

GCF of 489,544 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 485,6492

LCM of Fractions 485/489,6492/544 is 3148620

Given numbers has no common factors except 1. So, there LCM is their product i.e 3148620

Least Common Multiple of 485,6492 with GCF Formula

Least Common Multiple of 485,6492 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 485,6492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,6492) = 1

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

GCF(485,6492) x common factors =1 x 1 = 1

LCM(485,6492) = ( 485 × 6492 ) / 1

LCM(485,6492) = 3148620 / 1

LCM(485,6492) = 3148620


Lets's calculate GCF of 489,544

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3148620/1

Therefore the LCM of Fractions 485/489,6492/544 is 3148620

Greatest Common Factor of 489,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,544 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 489,544 . The biggest common factor number is the GCF number.
So the greatest common factor 489,544 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 485/489, 6492/544

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 485/489, 6492/544?

Answer: LCM of Numerators as per given numbers 485/489, 6492/544 is

LCM of Numerators i.e. for 485,6492 is 3148620

GCF of denominators i.e. for 489,544 is 1.

Thus, LCM of Fractions is 3148620.Finally, LCM of Fractions for 485/489, 6492/544 is 3148620.