Least Common Multiple of 33/423, 478/382, 728/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/423, 478/382, 728/784 quickly i.e. 5741736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/423, 478/382, 728/784 is 5741736.

LCM(33/423, 478/382, 728/784) = 5741736

LCM of 33/423, 478/382, 728/784

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 33/423,478/382,728/784

Given numbers are 33/423,478/382,728/784

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 33,478,728

Least Common Multiple of Numerators i.e. LCM of 33,478,728 is 5741736.

GCF of Denominators means GCF of 423,382,784 as per the given fractions.

GCF of 423,382,784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,478,728

LCM of Fractions 33/423,478/382,728/784 is 5741736

2 33, 478, 728
33, 239, 364

∴ So the LCM of the given numbers is 2 x 33 x 239 x 364 = 5741736

Least Common Multiple of 33,478,728 with GCF Formula

Least Common Multiple of 33,478,728 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 33,478,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,478,728) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(33,478,728) x common factors =1 x 2 = 2

LCM(33,478,728) = ( 33 × 478 × 728 ) / 2

LCM(33,478,728) = 11483472 / 2

LCM(33,478,728) = 5741736


Lets's calculate GCF of 423,382,784

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5741736/1

Therefore the LCM of Fractions 33/423,478/382,728/784 is 5741736

Greatest Common Factor of 423,382,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,382,784 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 423,382,784 . The biggest common factor number is the GCF number.
So the greatest common factor 423,382,784 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 33/423, 478/382, 728/784

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 33/423, 478/382, 728/784?

Answer: LCM of Numerators as per given numbers 33/423, 478/382, 728/784 is

LCM of Numerators i.e. for 33,478,728 is 5741736

GCF of denominators i.e. for 423,382,784 is 1.

Thus, LCM of Fractions is 5741736.Finally, LCM of Fractions for 33/423, 478/382, 728/784 is 5741736.