Least Common Multiple of 40/306, 327/284, 738/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/306, 327/284, 738/768 quickly i.e. 804420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/306, 327/284, 738/768 is 804420.

LCM(40/306, 327/284, 738/768) = 804420

LCM of 40/306, 327/284, 738/768

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 40/306,327/284,738/768

Given numbers are 40/306,327/284,738/768

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 40,327,738

Least Common Multiple of Numerators i.e. LCM of 40,327,738 is 1608840.

GCF of Denominators means GCF of 306,284,768 as per the given fractions.

GCF of 306,284,768 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,327,738

LCM of Fractions 40/306,327/284,738/768 is 804420

2 40, 327, 738
3 20, 327, 369
20, 109, 123

∴ So the LCM of the given numbers is 2 x 3 x 20 x 109 x 123 = 1608840

Least Common Multiple of 40,327,738 with GCF Formula

Least Common Multiple of 40,327,738 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 40,327,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,327,738) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(40,327,738) x common factors =1 x 6 = 6

LCM(40,327,738) = ( 40 × 327 × 738 ) / 6

LCM(40,327,738) = 9653040 / 6

LCM(40,327,738) = 1608840


Lets's calculate GCF of 306,284,768

2 306, 284, 768
153, 142, 384

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1608840/2

Therefore the LCM of Fractions 40/306,327/284,738/768 is 804420

Greatest Common Factor of 306,284,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,284,768 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 306,284,768 . The biggest common factor number is the GCF number.
So the greatest common factor 306,284,768 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 40/306, 327/284, 738/768

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 40/306, 327/284, 738/768?

Answer: LCM of Numerators as per given numbers 40/306, 327/284, 738/768 is

LCM of Numerators i.e. for 40,327,738 is 1608840

GCF of denominators i.e. for 306,284,768 is 2.

Thus, LCM of Fractions is 804420.Finally, LCM of Fractions for 40/306, 327/284, 738/768 is 804420.