Least Common Multiple of 512/11, 5648/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 512/11, 5648/220 quickly i.e. 180736/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 512/11, 5648/220 is 180736/11.

LCM(512/11, 5648/220) = 180736/11

LCM of 512/11, 5648/220

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 512/11,5648/220

Given numbers are 512/11,5648/220

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 512,5648

Least Common Multiple of Numerators i.e. LCM of 512,5648 is 180736.

GCF of Denominators means GCF of 11,220 as per the given fractions.

GCF of 11,220 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,5648

LCM of Fractions 512/11,5648/220 is 180736/11

2 512, 5648
2 256, 2824
2 128, 1412
2 64, 706
32, 353

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 32 x 353 = 180736

Least Common Multiple of 512,5648 with GCF Formula

Least Common Multiple of 512,5648 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 512,5648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,5648) = 16

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

GCF(512,5648) x common factors =16 x 1 = 16

LCM(512,5648) = ( 512 × 5648 ) / 16

LCM(512,5648) = 2891776 / 16

LCM(512,5648) = 180736


Lets's calculate GCF of 11,220

11 11, 220
1, 20

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180736/11

Therefore the LCM of Fractions 512/11,5648/220 is 180736/11

Greatest Common Factor of 11,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,220 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 11,220 . The biggest common factor number is the GCF number.
So the greatest common factor 11,220 is 11.


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 512/11, 5648/220

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 512/11, 5648/220?

Answer: LCM of Numerators as per given numbers 512/11, 5648/220 is

LCM of Numerators i.e. for 512,5648 is 180736

GCF of denominators i.e. for 11,220 is 11.

Thus, LCM of Fractions is 180736/11.Finally, LCM of Fractions for 512/11, 5648/220 is 180736/11.