Least Common Multiple of 238/17, 743/73, 489/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 238/17, 743/73, 489/396 quickly i.e. 86471826 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 238/17, 743/73, 489/396 is 86471826.

LCM(238/17, 743/73, 489/396) = 86471826

LCM of 238/17, 743/73, 489/396

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 238/17,743/73,489/396

Given numbers are 238/17,743/73,489/396

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 238,743,489

Least Common Multiple of Numerators i.e. LCM of 238,743,489 is 86471826.

GCF of Denominators means GCF of 17,73,396 as per the given fractions.

GCF of 17,73,396 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 238,743,489

LCM of Fractions 238/17,743/73,489/396 is 86471826

Given numbers has no common factors except 1. So, there LCM is their product i.e 86471826

Least Common Multiple of 238,743,489 with GCF Formula

Least Common Multiple of 238,743,489 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 238,743,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,743,489) = 1

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

GCF(238,743,489) x common factors =1 x 1 = 1

LCM(238,743,489) = ( 238 × 743 × 489 ) / 1

LCM(238,743,489) = 86471826 / 1

LCM(238,743,489) = 86471826


Lets's calculate GCF of 17,73,396

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86471826/1

Therefore the LCM of Fractions 238/17,743/73,489/396 is 86471826

Greatest Common Factor of 17,73,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,73,396 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 17,73,396 . The biggest common factor number is the GCF number.
So the greatest common factor 17,73,396 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 238/17, 743/73, 489/396

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 238/17, 743/73, 489/396?

Answer: LCM of Numerators as per given numbers 238/17, 743/73, 489/396 is

LCM of Numerators i.e. for 238,743,489 is 86471826

GCF of denominators i.e. for 17,73,396 is 1.

Thus, LCM of Fractions is 86471826.Finally, LCM of Fractions for 238/17, 743/73, 489/396 is 86471826.