Least Common Multiple of 505/90, 489/8090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 505/90, 489/8090 quickly i.e. 246945/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 505/90, 489/8090 is 246945/10.

LCM(505/90, 489/8090) = 246945/10

LCM of 505/90, 489/8090

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 505/90,489/8090

Given numbers are 505/90,489/8090

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 505,489

Least Common Multiple of Numerators i.e. LCM of 505,489 is 246945.

GCF of Denominators means GCF of 90,8090 as per the given fractions.

GCF of 90,8090 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 505,489

LCM of Fractions 505/90,489/8090 is 246945/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 246945

Least Common Multiple of 505,489 with GCF Formula

Least Common Multiple of 505,489 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 505,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,489) = 1

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

GCF(505,489) x common factors =1 x 1 = 1

LCM(505,489) = ( 505 × 489 ) / 1

LCM(505,489) = 246945 / 1

LCM(505,489) = 246945


Lets's calculate GCF of 90,8090

2 90, 8090
5 45, 4045
9, 809

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 246945/10

Therefore the LCM of Fractions 505/90,489/8090 is 246945/10

Greatest Common Factor of 90,8090 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,8090 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 8090

List of positive integer factors of 8090 that divides 8090 without a remainder.

1,2,5,10,809,1618,4045,8090

Greatest Common Factor

We found the factors 90,8090 . The biggest common factor number is the GCF number.
So the greatest common factor 90,8090 is 10.


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 505/90, 489/8090

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 505/90, 489/8090?

Answer: LCM of Numerators as per given numbers 505/90, 489/8090 is

LCM of Numerators i.e. for 505,489 is 246945

GCF of denominators i.e. for 90,8090 is 10.

Thus, LCM of Fractions is 246945/10.Finally, LCM of Fractions for 505/90, 489/8090 is 246945/10.