Least Common Multiple of 520/45, 361/2849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 520/45, 361/2849 quickly i.e. 187720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 520/45, 361/2849 is 187720.

LCM(520/45, 361/2849) = 187720

LCM of 520/45, 361/2849

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 520/45,361/2849

Given numbers are 520/45,361/2849

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 520,361

Least Common Multiple of Numerators i.e. LCM of 520,361 is 187720.

GCF of Denominators means GCF of 45,2849 as per the given fractions.

GCF of 45,2849 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 520,361

LCM of Fractions 520/45,361/2849 is 187720

Given numbers has no common factors except 1. So, there LCM is their product i.e 187720

Least Common Multiple of 520,361 with GCF Formula

Least Common Multiple of 520,361 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 520,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,361) = 1

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

GCF(520,361) x common factors =1 x 1 = 1

LCM(520,361) = ( 520 × 361 ) / 1

LCM(520,361) = 187720 / 1

LCM(520,361) = 187720


Lets's calculate GCF of 45,2849

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187720/1

Therefore the LCM of Fractions 520/45,361/2849 is 187720

Greatest Common Factor of 45,2849 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,2849 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 2849

List of positive integer factors of 2849 that divides 2849 without a remainder.

1,7,11,37,77,259,407,2849

Greatest Common Factor

We found the factors 45,2849 . The biggest common factor number is the GCF number.
So the greatest common factor 45,2849 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 520/45, 361/2849

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 520/45, 361/2849?

Answer: LCM of Numerators as per given numbers 520/45, 361/2849 is

LCM of Numerators i.e. for 520,361 is 187720

GCF of denominators i.e. for 45,2849 is 1.

Thus, LCM of Fractions is 187720.Finally, LCM of Fractions for 520/45, 361/2849 is 187720.