Least Common Multiple of 323/795, 396/926, 918/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 323/795, 396/926, 918/663 quickly i.e. 383724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 323/795, 396/926, 918/663 is 383724.

LCM(323/795, 396/926, 918/663) = 383724

LCM of 323/795, 396/926, 918/663

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 323/795,396/926,918/663

Given numbers are 323/795,396/926,918/663

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 323,396,918

Least Common Multiple of Numerators i.e. LCM of 323,396,918 is 383724.

GCF of Denominators means GCF of 795,926,663 as per the given fractions.

GCF of 795,926,663 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 323,396,918

LCM of Fractions 323/795,396/926,918/663 is 383724

2 323, 396, 918
3 323, 198, 459
3 323, 66, 153
17 323, 22, 51
19, 22, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 19 x 22 x 3 = 383724

Least Common Multiple of 323,396,918 with GCF Formula

Least Common Multiple of 323,396,918 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 323,396,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,396,918) = 1

common factors(in case of two or more numbers have common factors) = 306

GCF(323,396,918) x common factors =1 x 306 = 306

LCM(323,396,918) = ( 323 × 396 × 918 ) / 306

LCM(323,396,918) = 117419544 / 306

LCM(323,396,918) = 383724


Lets's calculate GCF of 795,926,663

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 383724/1

Therefore the LCM of Fractions 323/795,396/926,918/663 is 383724

Greatest Common Factor of 795,926,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,926,663 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 795,926,663 . The biggest common factor number is the GCF number.
So the greatest common factor 795,926,663 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 323/795, 396/926, 918/663

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 323/795, 396/926, 918/663?

Answer: LCM of Numerators as per given numbers 323/795, 396/926, 918/663 is

LCM of Numerators i.e. for 323,396,918 is 383724

GCF of denominators i.e. for 795,926,663 is 1.

Thus, LCM of Fractions is 383724.Finally, LCM of Fractions for 323/795, 396/926, 918/663 is 383724.