Least Common Multiple of 13/217, 609/390, 475/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/217, 609/390, 475/324 quickly i.e. 3760575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/217, 609/390, 475/324 is 3760575.

LCM(13/217, 609/390, 475/324) = 3760575

LCM of 13/217, 609/390, 475/324

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 13/217,609/390,475/324

Given numbers are 13/217,609/390,475/324

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 13,609,475

Least Common Multiple of Numerators i.e. LCM of 13,609,475 is 3760575.

GCF of Denominators means GCF of 217,390,324 as per the given fractions.

GCF of 217,390,324 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,609,475

LCM of Fractions 13/217,609/390,475/324 is 3760575

Given numbers has no common factors except 1. So, there LCM is their product i.e 3760575

Least Common Multiple of 13,609,475 with GCF Formula

Least Common Multiple of 13,609,475 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 13,609,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,609,475) = 1

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

GCF(13,609,475) x common factors =1 x 1 = 1

LCM(13,609,475) = ( 13 × 609 × 475 ) / 1

LCM(13,609,475) = 3760575 / 1

LCM(13,609,475) = 3760575


Lets's calculate GCF of 217,390,324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3760575/1

Therefore the LCM of Fractions 13/217,609/390,475/324 is 3760575

Greatest Common Factor of 217,390,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 217,390,324 By Matching Biggest Common Factor Method

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 217,390,324 . The biggest common factor number is the GCF number.
So the greatest common factor 217,390,324 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 13/217, 609/390, 475/324

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 13/217, 609/390, 475/324?

Answer: LCM of Numerators as per given numbers 13/217, 609/390, 475/324 is

LCM of Numerators i.e. for 13,609,475 is 3760575

GCF of denominators i.e. for 217,390,324 is 1.

Thus, LCM of Fractions is 3760575.Finally, LCM of Fractions for 13/217, 609/390, 475/324 is 3760575.