Least Common Multiple of 921/405, 7449/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 921/405, 7449/498 quickly i.e. 762281 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 921/405, 7449/498 is 762281.

LCM(921/405, 7449/498) = 762281

LCM of 921/405, 7449/498

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 921/405,7449/498

Given numbers are 921/405,7449/498

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 921,7449

Least Common Multiple of Numerators i.e. LCM of 921,7449 is 2286843.

GCF of Denominators means GCF of 405,498 as per the given fractions.

GCF of 405,498 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 921,7449

LCM of Fractions 921/405,7449/498 is 762281

3 921, 7449
307, 2483

∴ So the LCM of the given numbers is 3 x 307 x 2483 = 2286843

Least Common Multiple of 921,7449 with GCF Formula

Least Common Multiple of 921,7449 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 921,7449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,7449) = 3

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

GCF(921,7449) x common factors =3 x 1 = 3

LCM(921,7449) = ( 921 × 7449 ) / 3

LCM(921,7449) = 6860529 / 3

LCM(921,7449) = 2286843


Lets's calculate GCF of 405,498

3 405, 498
135, 166

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2286843/3

Therefore the LCM of Fractions 921/405,7449/498 is 762281

Greatest Common Factor of 405,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,498 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 405,498 . The biggest common factor number is the GCF number.
So the greatest common factor 405,498 is 3.


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 921/405, 7449/498

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 921/405, 7449/498?

Answer: LCM of Numerators as per given numbers 921/405, 7449/498 is

LCM of Numerators i.e. for 921,7449 is 2286843

GCF of denominators i.e. for 405,498 is 3.

Thus, LCM of Fractions is 762281.Finally, LCM of Fractions for 921/405, 7449/498 is 762281.