Least Common Multiple of 638/51, 784/6774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 638/51, 784/6774 quickly i.e. 250096/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 638/51, 784/6774 is 250096/3.

LCM(638/51, 784/6774) = 250096/3

LCM of 638/51, 784/6774

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 638/51,784/6774

Given numbers are 638/51,784/6774

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 638,784

Least Common Multiple of Numerators i.e. LCM of 638,784 is 250096.

GCF of Denominators means GCF of 51,6774 as per the given fractions.

GCF of 51,6774 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 638,784

LCM of Fractions 638/51,784/6774 is 250096/3

2 638, 784
319, 392

∴ So the LCM of the given numbers is 2 x 319 x 392 = 250096

Least Common Multiple of 638,784 with GCF Formula

Least Common Multiple of 638,784 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 638,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,784) = 2

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

GCF(638,784) x common factors =2 x 1 = 2

LCM(638,784) = ( 638 × 784 ) / 2

LCM(638,784) = 500192 / 2

LCM(638,784) = 250096


Lets's calculate GCF of 51,6774

3 51, 6774
17, 2258

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 250096/3

Therefore the LCM of Fractions 638/51,784/6774 is 250096/3

Greatest Common Factor of 51,6774 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,6774 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 6774

List of positive integer factors of 6774 that divides 6774 without a remainder.

1,2,3,6,1129,2258,3387,6774

Greatest Common Factor

We found the factors 51,6774 . The biggest common factor number is the GCF number.
So the greatest common factor 51,6774 is 3.


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 638/51, 784/6774

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 638/51, 784/6774?

Answer: LCM of Numerators as per given numbers 638/51, 784/6774 is

LCM of Numerators i.e. for 638,784 is 250096

GCF of denominators i.e. for 51,6774 is 3.

Thus, LCM of Fractions is 250096/3.Finally, LCM of Fractions for 638/51, 784/6774 is 250096/3.