Least Common Multiple of 505/45, 309/2806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 505/45, 309/2806 quickly i.e. 156045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 505/45, 309/2806 is 156045.

LCM(505/45, 309/2806) = 156045

LCM of 505/45, 309/2806

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 505/45,309/2806

Given numbers are 505/45,309/2806

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 505,309

Least Common Multiple of Numerators i.e. LCM of 505,309 is 156045.

GCF of Denominators means GCF of 45,2806 as per the given fractions.

GCF of 45,2806 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 505,309

LCM of Fractions 505/45,309/2806 is 156045

Given numbers has no common factors except 1. So, there LCM is their product i.e 156045

Least Common Multiple of 505,309 with GCF Formula

Least Common Multiple of 505,309 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 505,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,309) = 1

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

GCF(505,309) x common factors =1 x 1 = 1

LCM(505,309) = ( 505 × 309 ) / 1

LCM(505,309) = 156045 / 1

LCM(505,309) = 156045


Lets's calculate GCF of 45,2806

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156045/1

Therefore the LCM of Fractions 505/45,309/2806 is 156045

Greatest Common Factor of 45,2806 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,2806 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 2806

List of positive integer factors of 2806 that divides 2806 without a remainder.

1,2,23,46,61,122,1403,2806

Greatest Common Factor

We found the factors 45,2806 . The biggest common factor number is the GCF number.
So the greatest common factor 45,2806 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 505/45, 309/2806

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 505/45, 309/2806?

Answer: LCM of Numerators as per given numbers 505/45, 309/2806 is

LCM of Numerators i.e. for 505,309 is 156045

GCF of denominators i.e. for 45,2806 is 1.

Thus, LCM of Fractions is 156045.Finally, LCM of Fractions for 505/45, 309/2806 is 156045.