Least Common Multiple of 323/57, 798/87, 308/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 323/57, 798/87, 308/336 quickly i.e. 99484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 323/57, 798/87, 308/336 is 99484.

LCM(323/57, 798/87, 308/336) = 99484

LCM of 323/57, 798/87, 308/336

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 323/57,798/87,308/336

Given numbers are 323/57,798/87,308/336

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 323,798,308

Least Common Multiple of Numerators i.e. LCM of 323,798,308 is 298452.

GCF of Denominators means GCF of 57,87,336 as per the given fractions.

GCF of 57,87,336 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 323,798,308

LCM of Fractions 323/57,798/87,308/336 is 99484

2 323, 798, 308
7 323, 399, 154
19 323, 57, 22
17, 3, 22

∴ So the LCM of the given numbers is 2 x 7 x 19 x 17 x 3 x 22 = 298452

Least Common Multiple of 323,798,308 with GCF Formula

Least Common Multiple of 323,798,308 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 323,798,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,798,308) = 1

common factors(in case of two or more numbers have common factors) = 266

GCF(323,798,308) x common factors =1 x 266 = 266

LCM(323,798,308) = ( 323 × 798 × 308 ) / 266

LCM(323,798,308) = 79388232 / 266

LCM(323,798,308) = 298452


Lets's calculate GCF of 57,87,336

3 57, 87, 336
19, 29, 112

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298452/3

Therefore the LCM of Fractions 323/57,798/87,308/336 is 99484

Greatest Common Factor of 57,87,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,87,336 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 57,87,336 . The biggest common factor number is the GCF number.
So the greatest common factor 57,87,336 is 3.


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 323/57, 798/87, 308/336

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 323/57, 798/87, 308/336?

Answer: LCM of Numerators as per given numbers 323/57, 798/87, 308/336 is

LCM of Numerators i.e. for 323,798,308 is 298452

GCF of denominators i.e. for 57,87,336 is 3.

Thus, LCM of Fractions is 99484.Finally, LCM of Fractions for 323/57, 798/87, 308/336 is 99484.