Least Common Multiple of 489/37, 241/19, 492/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/37, 241/19, 492/323 quickly i.e. 19327236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/37, 241/19, 492/323 is 19327236.

LCM(489/37, 241/19, 492/323) = 19327236

LCM of 489/37, 241/19, 492/323

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 489/37,241/19,492/323

Given numbers are 489/37,241/19,492/323

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 489,241,492

Least Common Multiple of Numerators i.e. LCM of 489,241,492 is 19327236.

GCF of Denominators means GCF of 37,19,323 as per the given fractions.

GCF of 37,19,323 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,241,492

LCM of Fractions 489/37,241/19,492/323 is 19327236

3 489, 241, 492
163, 241, 164

∴ So the LCM of the given numbers is 3 x 163 x 241 x 164 = 19327236

Least Common Multiple of 489,241,492 with GCF Formula

Least Common Multiple of 489,241,492 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 489,241,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,241,492) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(489,241,492) x common factors =1 x 3 = 3

LCM(489,241,492) = ( 489 × 241 × 492 ) / 3

LCM(489,241,492) = 57981708 / 3

LCM(489,241,492) = 19327236


Lets's calculate GCF of 37,19,323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19327236/1

Therefore the LCM of Fractions 489/37,241/19,492/323 is 19327236

Greatest Common Factor of 37,19,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,19,323 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 37,19,323 . The biggest common factor number is the GCF number.
So the greatest common factor 37,19,323 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 489/37, 241/19, 492/323

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 489/37, 241/19, 492/323?

Answer: LCM of Numerators as per given numbers 489/37, 241/19, 492/323 is

LCM of Numerators i.e. for 489,241,492 is 19327236

GCF of denominators i.e. for 37,19,323 is 1.

Thus, LCM of Fractions is 19327236.Finally, LCM of Fractions for 489/37, 241/19, 492/323 is 19327236.