Least Common Multiple of 992/808, 369/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 992/808, 369/441 quickly i.e. 366048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 992/808, 369/441 is 366048.

LCM(992/808, 369/441) = 366048

LCM of 992/808, 369/441

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 992/808,369/441

Given numbers are 992/808,369/441

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 992,369

Least Common Multiple of Numerators i.e. LCM of 992,369 is 366048.

GCF of Denominators means GCF of 808,441 as per the given fractions.

GCF of 808,441 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 992,369

LCM of Fractions 992/808,369/441 is 366048

Given numbers has no common factors except 1. So, there LCM is their product i.e 366048

Least Common Multiple of 992,369 with GCF Formula

Least Common Multiple of 992,369 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 992,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,369) = 1

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

GCF(992,369) x common factors =1 x 1 = 1

LCM(992,369) = ( 992 × 369 ) / 1

LCM(992,369) = 366048 / 1

LCM(992,369) = 366048


Lets's calculate GCF of 808,441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 366048/1

Therefore the LCM of Fractions 992/808,369/441 is 366048

Greatest Common Factor of 808,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,441 By Matching Biggest Common Factor Method

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 808,441 . The biggest common factor number is the GCF number.
So the greatest common factor 808,441 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 992/808, 369/441

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 992/808, 369/441?

Answer: LCM of Numerators as per given numbers 992/808, 369/441 is

LCM of Numerators i.e. for 992,369 is 366048

GCF of denominators i.e. for 808,441 is 1.

Thus, LCM of Fractions is 366048.Finally, LCM of Fractions for 992/808, 369/441 is 366048.