Least Common Multiple of 33/312, 323/667, 404/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/312, 323/667, 404/198 quickly i.e. 4306236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/312, 323/667, 404/198 is 4306236.

LCM(33/312, 323/667, 404/198) = 4306236

LCM of 33/312, 323/667, 404/198

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 33/312,323/667,404/198

Given numbers are 33/312,323/667,404/198

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 33,323,404

Least Common Multiple of Numerators i.e. LCM of 33,323,404 is 4306236.

GCF of Denominators means GCF of 312,667,198 as per the given fractions.

GCF of 312,667,198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,323,404

LCM of Fractions 33/312,323/667,404/198 is 4306236

Given numbers has no common factors except 1. So, there LCM is their product i.e 4306236

Least Common Multiple of 33,323,404 with GCF Formula

Least Common Multiple of 33,323,404 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 33,323,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,323,404) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(33,323,404) x common factors =1 x 1 = 1

LCM(33,323,404) = ( 33 × 323 × 404 ) / 1

LCM(33,323,404) = 4306236 / 1

LCM(33,323,404) = 4306236


Lets's calculate GCF of 312,667,198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4306236/1

Therefore the LCM of Fractions 33/312,323/667,404/198 is 4306236

Greatest Common Factor of 312,667,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,667,198 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 312,667,198 . The biggest common factor number is the GCF number.
So the greatest common factor 312,667,198 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 33/312, 323/667, 404/198

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 33/312, 323/667, 404/198?

Answer: LCM of Numerators as per given numbers 33/312, 323/667, 404/198 is

LCM of Numerators i.e. for 33,323,404 is 4306236

GCF of denominators i.e. for 312,667,198 is 1.

Thus, LCM of Fractions is 4306236.Finally, LCM of Fractions for 33/312, 323/667, 404/198 is 4306236.