Least Common Multiple of 96/668, 8445/8034

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/668, 8445/8034 quickly i.e. 135120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/668, 8445/8034 is 135120.

LCM(96/668, 8445/8034) = 135120

LCM of 96/668, 8445/8034

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 96/668,8445/8034

Given numbers are 96/668,8445/8034

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 96,8445

Least Common Multiple of Numerators i.e. LCM of 96,8445 is 270240.

GCF of Denominators means GCF of 668,8034 as per the given fractions.

GCF of 668,8034 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,8445

LCM of Fractions 96/668,8445/8034 is 135120

3 96, 8445
32, 2815

∴ So the LCM of the given numbers is 3 x 32 x 2815 = 270240

Least Common Multiple of 96,8445 with GCF Formula

Least Common Multiple of 96,8445 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 96,8445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,8445) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(96,8445) x common factors =3 x 1 = 3

LCM(96,8445) = ( 96 × 8445 ) / 3

LCM(96,8445) = 810720 / 3

LCM(96,8445) = 270240


Lets's calculate GCF of 668,8034

2 668, 8034
334, 4017

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270240/2

Therefore the LCM of Fractions 96/668,8445/8034 is 135120

Greatest Common Factor of 668,8034 By Matching Biggest Common Factor Method

Greatest Common Factor of 668,8034 By Matching Biggest Common Factor Method

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 8034

List of positive integer factors of 8034 that divides 8034 without a remainder.

1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034

Greatest Common Factor

We found the factors 668,8034 . The biggest common factor number is the GCF number.
So the greatest common factor 668,8034 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 96/668, 8445/8034

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 96/668, 8445/8034?

Answer: LCM of Numerators as per given numbers 96/668, 8445/8034 is

LCM of Numerators i.e. for 96,8445 is 270240

GCF of denominators i.e. for 668,8034 is 2.

Thus, LCM of Fractions is 135120.Finally, LCM of Fractions for 96/668, 8445/8034 is 135120.