Least Common Multiple of 638/26, 231/8128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 638/26, 231/8128 quickly i.e. 6699 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 638/26, 231/8128 is 6699.

LCM(638/26, 231/8128) = 6699

LCM of 638/26, 231/8128

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 638/26,231/8128

Given numbers are 638/26,231/8128

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 638,231

Least Common Multiple of Numerators i.e. LCM of 638,231 is 13398.

GCF of Denominators means GCF of 26,8128 as per the given fractions.

GCF of 26,8128 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 638,231

LCM of Fractions 638/26,231/8128 is 6699

11 638, 231
58, 21

∴ So the LCM of the given numbers is 11 x 58 x 21 = 13398

Least Common Multiple of 638,231 with GCF Formula

Least Common Multiple of 638,231 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 638,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,231) = 11

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

GCF(638,231) x common factors =11 x 1 = 11

LCM(638,231) = ( 638 × 231 ) / 11

LCM(638,231) = 147378 / 11

LCM(638,231) = 13398


Lets's calculate GCF of 26,8128

2 26, 8128
13, 4064

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13398/2

Therefore the LCM of Fractions 638/26,231/8128 is 6699

Greatest Common Factor of 26,8128 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,8128 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 8128

List of positive integer factors of 8128 that divides 8128 without a remainder.

1,2,4,8,16,32,64,127,254,508,1016,2032,4064,8128

Greatest Common Factor

We found the factors 26,8128 . The biggest common factor number is the GCF number.
So the greatest common factor 26,8128 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 638/26, 231/8128

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 638/26, 231/8128?

Answer: LCM of Numerators as per given numbers 638/26, 231/8128 is

LCM of Numerators i.e. for 638,231 is 13398

GCF of denominators i.e. for 26,8128 is 2.

Thus, LCM of Fractions is 6699.Finally, LCM of Fractions for 638/26, 231/8128 is 6699.