Least Common Multiple of 821/798, 797/290, 403/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 821/798, 797/290, 403/490 quickly i.e. 263697811/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 821/798, 797/290, 403/490 is 263697811/2.

LCM(821/798, 797/290, 403/490) = 263697811/2

LCM of 821/798, 797/290, 403/490

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 821/798,797/290,403/490

Given numbers are 821/798,797/290,403/490

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 821,797,403

Least Common Multiple of Numerators i.e. LCM of 821,797,403 is 263697811.

GCF of Denominators means GCF of 798,290,490 as per the given fractions.

GCF of 798,290,490 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 821,797,403

LCM of Fractions 821/798,797/290,403/490 is 263697811/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 263697811

Least Common Multiple of 821,797,403 with GCF Formula

Least Common Multiple of 821,797,403 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 821,797,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,797,403) = 1

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

GCF(821,797,403) x common factors =1 x 1 = 1

LCM(821,797,403) = ( 821 × 797 × 403 ) / 1

LCM(821,797,403) = 263697811 / 1

LCM(821,797,403) = 263697811


Lets's calculate GCF of 798,290,490

2 798, 290, 490
399, 145, 245

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263697811/2

Therefore the LCM of Fractions 821/798,797/290,403/490 is 263697811/2

Greatest Common Factor of 798,290,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,290,490 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 798,290,490 . The biggest common factor number is the GCF number.
So the greatest common factor 798,290,490 is 2.


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 821/798, 797/290, 403/490

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 821/798, 797/290, 403/490?

Answer: LCM of Numerators as per given numbers 821/798, 797/290, 403/490 is

LCM of Numerators i.e. for 821,797,403 is 263697811

GCF of denominators i.e. for 798,290,490 is 2.

Thus, LCM of Fractions is 263697811/2.Finally, LCM of Fractions for 821/798, 797/290, 403/490 is 263697811/2.