Least Common Multiple of 128/16, 660/6812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 128/16, 660/6812 quickly i.e. 5280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 128/16, 660/6812 is 5280.

LCM(128/16, 660/6812) = 5280

LCM of 128/16, 660/6812

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 128/16,660/6812

Given numbers are 128/16,660/6812

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 128,660

Least Common Multiple of Numerators i.e. LCM of 128,660 is 21120.

GCF of Denominators means GCF of 16,6812 as per the given fractions.

GCF of 16,6812 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 128,660

LCM of Fractions 128/16,660/6812 is 5280

2 128, 660
2 64, 330
32, 165

∴ So the LCM of the given numbers is 2 x 2 x 32 x 165 = 21120

Least Common Multiple of 128,660 with GCF Formula

Least Common Multiple of 128,660 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 128,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,660) = 4

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

GCF(128,660) x common factors =4 x 1 = 4

LCM(128,660) = ( 128 × 660 ) / 4

LCM(128,660) = 84480 / 4

LCM(128,660) = 21120


Lets's calculate GCF of 16,6812

2 16, 6812
2 8, 3406
4, 1703

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21120/4

Therefore the LCM of Fractions 128/16,660/6812 is 5280

Greatest Common Factor of 16,6812 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,6812 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 6812

List of positive integer factors of 6812 that divides 6812 without a remainder.

1,2,4,13,26,52,131,262,524,1703,3406,6812

Greatest Common Factor

We found the factors 16,6812 . The biggest common factor number is the GCF number.
So the greatest common factor 16,6812 is 4.


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 128/16, 660/6812

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 128/16, 660/6812?

Answer: LCM of Numerators as per given numbers 128/16, 660/6812 is

LCM of Numerators i.e. for 128,660 is 21120

GCF of denominators i.e. for 16,6812 is 4.

Thus, LCM of Fractions is 5280.Finally, LCM of Fractions for 128/16, 660/6812 is 5280.