Least Common Multiple of 40/333, 29/291, 747/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/333, 29/291, 747/728 quickly i.e. 866520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/333, 29/291, 747/728 is 866520.

LCM(40/333, 29/291, 747/728) = 866520

LCM of 40/333, 29/291, 747/728

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 40/333,29/291,747/728

Given numbers are 40/333,29/291,747/728

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 40,29,747

Least Common Multiple of Numerators i.e. LCM of 40,29,747 is 866520.

GCF of Denominators means GCF of 333,291,728 as per the given fractions.

GCF of 333,291,728 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,29,747

LCM of Fractions 40/333,29/291,747/728 is 866520

Given numbers has no common factors except 1. So, there LCM is their product i.e 866520

Least Common Multiple of 40,29,747 with GCF Formula

Least Common Multiple of 40,29,747 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 40,29,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,29,747) = 1

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

GCF(40,29,747) x common factors =1 x 1 = 1

LCM(40,29,747) = ( 40 × 29 × 747 ) / 1

LCM(40,29,747) = 866520 / 1

LCM(40,29,747) = 866520


Lets's calculate GCF of 333,291,728

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 866520/1

Therefore the LCM of Fractions 40/333,29/291,747/728 is 866520

Greatest Common Factor of 333,291,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 333,291,728 By Matching Biggest Common Factor Method

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 333,291,728 . The biggest common factor number is the GCF number.
So the greatest common factor 333,291,728 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 40/333, 29/291, 747/728

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 40/333, 29/291, 747/728?

Answer: LCM of Numerators as per given numbers 40/333, 29/291, 747/728 is

LCM of Numerators i.e. for 40,29,747 is 866520

GCF of denominators i.e. for 333,291,728 is 1.

Thus, LCM of Fractions is 866520.Finally, LCM of Fractions for 40/333, 29/291, 747/728 is 866520.