Least Common Multiple of 306/40, 330/73, 705/96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 306/40, 330/73, 705/96 quickly i.e. 791010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 306/40, 330/73, 705/96 is 791010.

LCM(306/40, 330/73, 705/96) = 791010

LCM of 306/40, 330/73, 705/96

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 306/40,330/73,705/96

Given numbers are 306/40,330/73,705/96

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 306,330,705

Least Common Multiple of Numerators i.e. LCM of 306,330,705 is 791010.

GCF of Denominators means GCF of 40,73,96 as per the given fractions.

GCF of 40,73,96 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 306,330,705

LCM of Fractions 306/40,330/73,705/96 is 791010

2 306, 330, 705
3 153, 165, 705
5 51, 55, 235
51, 11, 47

∴ So the LCM of the given numbers is 2 x 3 x 5 x 51 x 11 x 47 = 791010

Least Common Multiple of 306,330,705 with GCF Formula

Least Common Multiple of 306,330,705 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 306,330,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,330,705) = 3

common factors(in case of two or more numbers have common factors) = 30

GCF(306,330,705) x common factors =3 x 30 = 90

LCM(306,330,705) = ( 306 × 330 × 705 ) / 90

LCM(306,330,705) = 71190900 / 90

LCM(306,330,705) = 791010


Lets's calculate GCF of 40,73,96

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 791010/1

Therefore the LCM of Fractions 306/40,330/73,705/96 is 791010

Greatest Common Factor of 40,73,96 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,73,96 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Greatest Common Factor

We found the factors 40,73,96 . The biggest common factor number is the GCF number.
So the greatest common factor 40,73,96 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 306/40, 330/73, 705/96

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 306/40, 330/73, 705/96?

Answer: LCM of Numerators as per given numbers 306/40, 330/73, 705/96 is

LCM of Numerators i.e. for 306,330,705 is 791010

GCF of denominators i.e. for 40,73,96 is 1.

Thus, LCM of Fractions is 791010.Finally, LCM of Fractions for 306/40, 330/73, 705/96 is 791010.