Least Common Multiple of 288/33, 736/28, 491/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/33, 736/28, 491/843 quickly i.e. 3252384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/33, 736/28, 491/843 is 3252384.

LCM(288/33, 736/28, 491/843) = 3252384

LCM of 288/33, 736/28, 491/843

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 288/33,736/28,491/843

Given numbers are 288/33,736/28,491/843

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 288,736,491

Least Common Multiple of Numerators i.e. LCM of 288,736,491 is 3252384.

GCF of Denominators means GCF of 33,28,843 as per the given fractions.

GCF of 33,28,843 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,736,491

LCM of Fractions 288/33,736/28,491/843 is 3252384

2 288, 736, 491
2 144, 368, 491
2 72, 184, 491
2 36, 92, 491
2 18, 46, 491
9, 23, 491

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 9 x 23 x 491 = 3252384

Least Common Multiple of 288,736,491 with GCF Formula

Least Common Multiple of 288,736,491 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 288,736,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,736,491) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(288,736,491) x common factors =1 x 32 = 32

LCM(288,736,491) = ( 288 × 736 × 491 ) / 32

LCM(288,736,491) = 104076288 / 32

LCM(288,736,491) = 3252384


Lets's calculate GCF of 33,28,843

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3252384/1

Therefore the LCM of Fractions 288/33,736/28,491/843 is 3252384

Greatest Common Factor of 33,28,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,28,843 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors 33,28,843 . The biggest common factor number is the GCF number.
So the greatest common factor 33,28,843 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 288/33, 736/28, 491/843

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 288/33, 736/28, 491/843?

Answer: LCM of Numerators as per given numbers 288/33, 736/28, 491/843 is

LCM of Numerators i.e. for 288,736,491 is 3252384

GCF of denominators i.e. for 33,28,843 is 1.

Thus, LCM of Fractions is 3252384.Finally, LCM of Fractions for 288/33, 736/28, 491/843 is 3252384.