Least Common Multiple of 823/16, 327/35, 456/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 823/16, 327/35, 456/507 quickly i.e. 40906392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 823/16, 327/35, 456/507 is 40906392.

LCM(823/16, 327/35, 456/507) = 40906392

LCM of 823/16, 327/35, 456/507

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 823/16,327/35,456/507

Given numbers are 823/16,327/35,456/507

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 823,327,456

Least Common Multiple of Numerators i.e. LCM of 823,327,456 is 40906392.

GCF of Denominators means GCF of 16,35,507 as per the given fractions.

GCF of 16,35,507 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 823,327,456

LCM of Fractions 823/16,327/35,456/507 is 40906392

3 823, 327, 456
823, 109, 152

∴ So the LCM of the given numbers is 3 x 823 x 109 x 152 = 40906392

Least Common Multiple of 823,327,456 with GCF Formula

Least Common Multiple of 823,327,456 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 823,327,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,327,456) = 1

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

GCF(823,327,456) x common factors =1 x 3 = 3

LCM(823,327,456) = ( 823 × 327 × 456 ) / 3

LCM(823,327,456) = 122719176 / 3

LCM(823,327,456) = 40906392


Lets's calculate GCF of 16,35,507

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40906392/1

Therefore the LCM of Fractions 823/16,327/35,456/507 is 40906392

Greatest Common Factor of 16,35,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,35,507 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 16,35,507 . The biggest common factor number is the GCF number.
So the greatest common factor 16,35,507 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 823/16, 327/35, 456/507

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 823/16, 327/35, 456/507?

Answer: LCM of Numerators as per given numbers 823/16, 327/35, 456/507 is

LCM of Numerators i.e. for 823,327,456 is 40906392

GCF of denominators i.e. for 16,35,507 is 1.

Thus, LCM of Fractions is 40906392.Finally, LCM of Fractions for 823/16, 327/35, 456/507 is 40906392.