Least Common Multiple of 13/180, 53/855, 474/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/180, 53/855, 474/519 quickly i.e. 108862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/180, 53/855, 474/519 is 108862.

LCM(13/180, 53/855, 474/519) = 108862

LCM of 13/180, 53/855, 474/519

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 13/180,53/855,474/519

Given numbers are 13/180,53/855,474/519

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 13,53,474

Least Common Multiple of Numerators i.e. LCM of 13,53,474 is 326586.

GCF of Denominators means GCF of 180,855,519 as per the given fractions.

GCF of 180,855,519 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,53,474

LCM of Fractions 13/180,53/855,474/519 is 108862

Given numbers has no common factors except 1. So, there LCM is their product i.e 326586

Least Common Multiple of 13,53,474 with GCF Formula

Least Common Multiple of 13,53,474 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 13,53,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,53,474) = 1

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

GCF(13,53,474) x common factors =1 x 1 = 1

LCM(13,53,474) = ( 13 × 53 × 474 ) / 1

LCM(13,53,474) = 326586 / 1

LCM(13,53,474) = 326586


Lets's calculate GCF of 180,855,519

3 180, 855, 519
60, 285, 173

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 326586/3

Therefore the LCM of Fractions 13/180,53/855,474/519 is 108862

Greatest Common Factor of 180,855,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,855,519 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Greatest Common Factor

We found the factors 180,855,519 . The biggest common factor number is the GCF number.
So the greatest common factor 180,855,519 is 3.


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 13/180, 53/855, 474/519

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 13/180, 53/855, 474/519?

Answer: LCM of Numerators as per given numbers 13/180, 53/855, 474/519 is

LCM of Numerators i.e. for 13,53,474 is 326586

GCF of denominators i.e. for 180,855,519 is 3.

Thus, LCM of Fractions is 108862.Finally, LCM of Fractions for 13/180, 53/855, 474/519 is 108862.