Least Common Multiple of 33/542, 96/628, 915/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/542, 96/628, 915/683 quickly i.e. 322080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/542, 96/628, 915/683 is 322080.

LCM(33/542, 96/628, 915/683) = 322080

LCM of 33/542, 96/628, 915/683

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 33/542,96/628,915/683

Given numbers are 33/542,96/628,915/683

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 33,96,915

Least Common Multiple of Numerators i.e. LCM of 33,96,915 is 322080.

GCF of Denominators means GCF of 542,628,683 as per the given fractions.

GCF of 542,628,683 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,96,915

LCM of Fractions 33/542,96/628,915/683 is 322080

3 33, 96, 915
11, 32, 305

∴ So the LCM of the given numbers is 3 x 11 x 32 x 305 = 322080

Least Common Multiple of 33,96,915 with GCF Formula

Least Common Multiple of 33,96,915 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 33,96,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,96,915) = 3

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

GCF(33,96,915) x common factors =3 x 3 = 9

LCM(33,96,915) = ( 33 × 96 × 915 ) / 9

LCM(33,96,915) = 2898720 / 9

LCM(33,96,915) = 322080


Lets's calculate GCF of 542,628,683

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 322080/1

Therefore the LCM of Fractions 33/542,96/628,915/683 is 322080

Greatest Common Factor of 542,628,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,628,683 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Greatest Common Factor

We found the factors 542,628,683 . The biggest common factor number is the GCF number.
So the greatest common factor 542,628,683 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 33/542, 96/628, 915/683

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 33/542, 96/628, 915/683?

Answer: LCM of Numerators as per given numbers 33/542, 96/628, 915/683 is

LCM of Numerators i.e. for 33,96,915 is 322080

GCF of denominators i.e. for 542,628,683 is 1.

Thus, LCM of Fractions is 322080.Finally, LCM of Fractions for 33/542, 96/628, 915/683 is 322080.