Least Common Multiple of 13/512, 84/848, 472/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/512, 84/848, 472/244 quickly i.e. 32214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/512, 84/848, 472/244 is 32214.

LCM(13/512, 84/848, 472/244) = 32214

LCM of 13/512, 84/848, 472/244

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 13/512,84/848,472/244

Given numbers are 13/512,84/848,472/244

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 13,84,472

Least Common Multiple of Numerators i.e. LCM of 13,84,472 is 128856.

GCF of Denominators means GCF of 512,848,244 as per the given fractions.

GCF of 512,848,244 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,84,472

LCM of Fractions 13/512,84/848,472/244 is 32214

2 13, 84, 472
2 13, 42, 236
13, 21, 118

∴ So the LCM of the given numbers is 2 x 2 x 13 x 21 x 118 = 128856

Least Common Multiple of 13,84,472 with GCF Formula

Least Common Multiple of 13,84,472 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 13,84,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,84,472) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(13,84,472) x common factors =1 x 4 = 4

LCM(13,84,472) = ( 13 × 84 × 472 ) / 4

LCM(13,84,472) = 515424 / 4

LCM(13,84,472) = 128856


Lets's calculate GCF of 512,848,244

2 512, 848, 244
2 256, 424, 122
128, 212, 61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128856/4

Therefore the LCM of Fractions 13/512,84/848,472/244 is 32214

Greatest Common Factor of 512,848,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,848,244 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 512,848,244 . The biggest common factor number is the GCF number.
So the greatest common factor 512,848,244 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 13/512, 84/848, 472/244

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 13/512, 84/848, 472/244?

Answer: LCM of Numerators as per given numbers 13/512, 84/848, 472/244 is

LCM of Numerators i.e. for 13,84,472 is 128856

GCF of denominators i.e. for 512,848,244 is 4.

Thus, LCM of Fractions is 32214.Finally, LCM of Fractions for 13/512, 84/848, 472/244 is 32214.