Least Common Multiple of 46/306, 75/396, 393/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/306, 75/396, 393/333 quickly i.e. 451950/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/306, 75/396, 393/333 is 451950/9.

LCM(46/306, 75/396, 393/333) = 451950/9

LCM of 46/306, 75/396, 393/333

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 46/306,75/396,393/333

Given numbers are 46/306,75/396,393/333

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 46,75,393

Least Common Multiple of Numerators i.e. LCM of 46,75,393 is 451950.

GCF of Denominators means GCF of 306,396,333 as per the given fractions.

GCF of 306,396,333 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,75,393

LCM of Fractions 46/306,75/396,393/333 is 451950/9

3 46, 75, 393
46, 25, 131

∴ So the LCM of the given numbers is 3 x 46 x 25 x 131 = 451950

Least Common Multiple of 46,75,393 with GCF Formula

Least Common Multiple of 46,75,393 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 46,75,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,75,393) = 1

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

GCF(46,75,393) x common factors =1 x 3 = 3

LCM(46,75,393) = ( 46 × 75 × 393 ) / 3

LCM(46,75,393) = 1355850 / 3

LCM(46,75,393) = 451950


Lets's calculate GCF of 306,396,333

3 306, 396, 333
3 102, 132, 111
34, 44, 37

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 451950/9

Therefore the LCM of Fractions 46/306,75/396,393/333 is 451950/9

Greatest Common Factor of 306,396,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,396,333 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 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 306,396,333 . The biggest common factor number is the GCF number.
So the greatest common factor 306,396,333 is 9.


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 46/306, 75/396, 393/333

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 46/306, 75/396, 393/333?

Answer: LCM of Numerators as per given numbers 46/306, 75/396, 393/333 is

LCM of Numerators i.e. for 46,75,393 is 451950

GCF of denominators i.e. for 306,396,333 is 9.

Thus, LCM of Fractions is 451950/9.Finally, LCM of Fractions for 46/306, 75/396, 393/333 is 451950/9.