Least Common Multiple of 6348/538, 4738/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6348/538, 4738/336 quickly i.e. 326922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6348/538, 4738/336 is 326922.

LCM(6348/538, 4738/336) = 326922

LCM of 6348/538, 4738/336

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 6348/538,4738/336

Given numbers are 6348/538,4738/336

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 6348,4738

Least Common Multiple of Numerators i.e. LCM of 6348,4738 is 653844.

GCF of Denominators means GCF of 538,336 as per the given fractions.

GCF of 538,336 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6348,4738

LCM of Fractions 6348/538,4738/336 is 326922

2 6348, 4738
23 3174, 2369
138, 103

∴ So the LCM of the given numbers is 2 x 23 x 138 x 103 = 653844

Least Common Multiple of 6348,4738 with GCF Formula

Least Common Multiple of 6348,4738 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 6348,4738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6348,4738) = 46

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

GCF(6348,4738) x common factors =46 x 1 = 46

LCM(6348,4738) = ( 6348 × 4738 ) / 46

LCM(6348,4738) = 30076824 / 46

LCM(6348,4738) = 653844


Lets's calculate GCF of 538,336

2 538, 336
269, 168

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 653844/2

Therefore the LCM of Fractions 6348/538,4738/336 is 326922

Greatest Common Factor of 538,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,336 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 538,336 . The biggest common factor number is the GCF number.
So the greatest common factor 538,336 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 6348/538, 4738/336

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 6348/538, 4738/336?

Answer: LCM of Numerators as per given numbers 6348/538, 4738/336 is

LCM of Numerators i.e. for 6348,4738 is 653844

GCF of denominators i.e. for 538,336 is 2.

Thus, LCM of Fractions is 326922.Finally, LCM of Fractions for 6348/538, 4738/336 is 326922.