Least Common Multiple of 96/200, 33/690, 642/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/200, 33/690, 642/478 quickly i.e. 56496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/200, 33/690, 642/478 is 56496.

LCM(96/200, 33/690, 642/478) = 56496

LCM of 96/200, 33/690, 642/478

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 96/200,33/690,642/478

Given numbers are 96/200,33/690,642/478

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 96,33,642

Least Common Multiple of Numerators i.e. LCM of 96,33,642 is 112992.

GCF of Denominators means GCF of 200,690,478 as per the given fractions.

GCF of 200,690,478 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,33,642

LCM of Fractions 96/200,33/690,642/478 is 56496

2 96, 33, 642
3 48, 33, 321
16, 11, 107

∴ So the LCM of the given numbers is 2 x 3 x 16 x 11 x 107 = 112992

Least Common Multiple of 96,33,642 with GCF Formula

Least Common Multiple of 96,33,642 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 96,33,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,33,642) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(96,33,642) x common factors =3 x 6 = 18

LCM(96,33,642) = ( 96 × 33 × 642 ) / 18

LCM(96,33,642) = 2033856 / 18

LCM(96,33,642) = 112992


Lets's calculate GCF of 200,690,478

2 200, 690, 478
100, 345, 239

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112992/2

Therefore the LCM of Fractions 96/200,33/690,642/478 is 56496

Greatest Common Factor of 200,690,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,690,478 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 200,690,478 . The biggest common factor number is the GCF number.
So the greatest common factor 200,690,478 is 2.


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 96/200, 33/690, 642/478

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 96/200, 33/690, 642/478?

Answer: LCM of Numerators as per given numbers 96/200, 33/690, 642/478 is

LCM of Numerators i.e. for 96,33,642 is 112992

GCF of denominators i.e. for 200,690,478 is 2.

Thus, LCM of Fractions is 56496.Finally, LCM of Fractions for 96/200, 33/690, 642/478 is 56496.