Least Common Multiple of 493/565, 990/592, 181/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/565, 990/592, 181/300 quickly i.e. 88340670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/565, 990/592, 181/300 is 88340670.

LCM(493/565, 990/592, 181/300) = 88340670

LCM of 493/565, 990/592, 181/300

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 493/565,990/592,181/300

Given numbers are 493/565,990/592,181/300

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 493,990,181

Least Common Multiple of Numerators i.e. LCM of 493,990,181 is 88340670.

GCF of Denominators means GCF of 565,592,300 as per the given fractions.

GCF of 565,592,300 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,990,181

LCM of Fractions 493/565,990/592,181/300 is 88340670

Given numbers has no common factors except 1. So, there LCM is their product i.e 88340670

Least Common Multiple of 493,990,181 with GCF Formula

Least Common Multiple of 493,990,181 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 493,990,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,990,181) = 1

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

GCF(493,990,181) x common factors =1 x 1 = 1

LCM(493,990,181) = ( 493 × 990 × 181 ) / 1

LCM(493,990,181) = 88340670 / 1

LCM(493,990,181) = 88340670


Lets's calculate GCF of 565,592,300

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88340670/1

Therefore the LCM of Fractions 493/565,990/592,181/300 is 88340670

Greatest Common Factor of 565,592,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,592,300 By Matching Biggest Common Factor Method

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 565,592,300 . The biggest common factor number is the GCF number.
So the greatest common factor 565,592,300 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 493/565, 990/592, 181/300

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 493/565, 990/592, 181/300?

Answer: LCM of Numerators as per given numbers 493/565, 990/592, 181/300 is

LCM of Numerators i.e. for 493,990,181 is 88340670

GCF of denominators i.e. for 565,592,300 is 1.

Thus, LCM of Fractions is 88340670.Finally, LCM of Fractions for 493/565, 990/592, 181/300 is 88340670.