Least Common Multiple of 8128/330, 7208/6064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8128/330, 7208/6064 quickly i.e. 3661664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8128/330, 7208/6064 is 3661664.

LCM(8128/330, 7208/6064) = 3661664

LCM of 8128/330, 7208/6064

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 8128/330,7208/6064

Given numbers are 8128/330,7208/6064

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 8128,7208

Least Common Multiple of Numerators i.e. LCM of 8128,7208 is 7323328.

GCF of Denominators means GCF of 330,6064 as per the given fractions.

GCF of 330,6064 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8128,7208

LCM of Fractions 8128/330,7208/6064 is 3661664

2 8128, 7208
2 4064, 3604
2 2032, 1802
1016, 901

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1016 x 901 = 7323328

Least Common Multiple of 8128,7208 with GCF Formula

Least Common Multiple of 8128,7208 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 8128,7208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8128,7208) = 8

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

GCF(8128,7208) x common factors =8 x 1 = 8

LCM(8128,7208) = ( 8128 × 7208 ) / 8

LCM(8128,7208) = 58586624 / 8

LCM(8128,7208) = 7323328


Lets's calculate GCF of 330,6064

2 330, 6064
165, 3032

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7323328/2

Therefore the LCM of Fractions 8128/330,7208/6064 is 3661664

Greatest Common Factor of 330,6064 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,6064 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 6064

List of positive integer factors of 6064 that divides 6064 without a remainder.

1,2,4,8,16,379,758,1516,3032,6064

Greatest Common Factor

We found the factors 330,6064 . The biggest common factor number is the GCF number.
So the greatest common factor 330,6064 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 8128/330, 7208/6064

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 8128/330, 7208/6064?

Answer: LCM of Numerators as per given numbers 8128/330, 7208/6064 is

LCM of Numerators i.e. for 8128,7208 is 7323328

GCF of denominators i.e. for 330,6064 is 2.

Thus, LCM of Fractions is 3661664.Finally, LCM of Fractions for 8128/330, 7208/6064 is 3661664.