Least Common Multiple of 30/309, 96/746, 904/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/309, 96/746, 904/332 quickly i.e. 54240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/309, 96/746, 904/332 is 54240.

LCM(30/309, 96/746, 904/332) = 54240

LCM of 30/309, 96/746, 904/332

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 30/309,96/746,904/332

Given numbers are 30/309,96/746,904/332

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 30,96,904

Least Common Multiple of Numerators i.e. LCM of 30,96,904 is 54240.

GCF of Denominators means GCF of 309,746,332 as per the given fractions.

GCF of 309,746,332 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,96,904

LCM of Fractions 30/309,96/746,904/332 is 54240

2 30, 96, 904
2 15, 48, 452
2 15, 24, 226
3 15, 12, 113
5, 4, 113

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 4 x 113 = 54240

Least Common Multiple of 30,96,904 with GCF Formula

Least Common Multiple of 30,96,904 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 30,96,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,96,904) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(30,96,904) x common factors =2 x 24 = 48

LCM(30,96,904) = ( 30 × 96 × 904 ) / 48

LCM(30,96,904) = 2603520 / 48

LCM(30,96,904) = 54240


Lets's calculate GCF of 309,746,332

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54240/1

Therefore the LCM of Fractions 30/309,96/746,904/332 is 54240

Greatest Common Factor of 309,746,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,746,332 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 309,746,332 . The biggest common factor number is the GCF number.
So the greatest common factor 309,746,332 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 30/309, 96/746, 904/332

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 30/309, 96/746, 904/332?

Answer: LCM of Numerators as per given numbers 30/309, 96/746, 904/332 is

LCM of Numerators i.e. for 30,96,904 is 54240

GCF of denominators i.e. for 309,746,332 is 1.

Thus, LCM of Fractions is 54240.Finally, LCM of Fractions for 30/309, 96/746, 904/332 is 54240.