Least Common Multiple of 288/98, 419/82, 453/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/98, 419/82, 453/822 quickly i.e. 9110736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/98, 419/82, 453/822 is 9110736.

LCM(288/98, 419/82, 453/822) = 9110736

LCM of 288/98, 419/82, 453/822

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 288/98,419/82,453/822

Given numbers are 288/98,419/82,453/822

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 288,419,453

Least Common Multiple of Numerators i.e. LCM of 288,419,453 is 18221472.

GCF of Denominators means GCF of 98,82,822 as per the given fractions.

GCF of 98,82,822 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,419,453

LCM of Fractions 288/98,419/82,453/822 is 9110736

3 288, 419, 453
96, 419, 151

∴ So the LCM of the given numbers is 3 x 96 x 419 x 151 = 18221472

Least Common Multiple of 288,419,453 with GCF Formula

Least Common Multiple of 288,419,453 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 288,419,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,419,453) = 1

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

GCF(288,419,453) x common factors =1 x 3 = 3

LCM(288,419,453) = ( 288 × 419 × 453 ) / 3

LCM(288,419,453) = 54664416 / 3

LCM(288,419,453) = 18221472


Lets's calculate GCF of 98,82,822

2 98, 82, 822
49, 41, 411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18221472/2

Therefore the LCM of Fractions 288/98,419/82,453/822 is 9110736

Greatest Common Factor of 98,82,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,82,822 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 98,82,822 . The biggest common factor number is the GCF number.
So the greatest common factor 98,82,822 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 288/98, 419/82, 453/822

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 288/98, 419/82, 453/822?

Answer: LCM of Numerators as per given numbers 288/98, 419/82, 453/822 is

LCM of Numerators i.e. for 288,419,453 is 18221472

GCF of denominators i.e. for 98,82,822 is 2.

Thus, LCM of Fractions is 9110736.Finally, LCM of Fractions for 288/98, 419/82, 453/822 is 9110736.