Least Common Multiple of 494/36, 696/6468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 494/36, 696/6468 quickly i.e. 14326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/36, 696/6468 is 14326.

LCM(494/36, 696/6468) = 14326

LCM of 494/36, 696/6468

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 494/36,696/6468

Given numbers are 494/36,696/6468

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 494,696

Least Common Multiple of Numerators i.e. LCM of 494,696 is 171912.

GCF of Denominators means GCF of 36,6468 as per the given fractions.

GCF of 36,6468 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,696

LCM of Fractions 494/36,696/6468 is 14326

2 494, 696
247, 348

∴ So the LCM of the given numbers is 2 x 247 x 348 = 171912

Least Common Multiple of 494,696 with GCF Formula

Least Common Multiple of 494,696 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 494,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,696) = 2

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

GCF(494,696) x common factors =2 x 1 = 2

LCM(494,696) = ( 494 × 696 ) / 2

LCM(494,696) = 343824 / 2

LCM(494,696) = 171912


Lets's calculate GCF of 36,6468

2 36, 6468
2 18, 3234
3 9, 1617
3, 539

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171912/12

Therefore the LCM of Fractions 494/36,696/6468 is 14326

Greatest Common Factor of 36,6468 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,6468 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 6468

List of positive integer factors of 6468 that divides 6468 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,49,66,77,84,98,132,147,154,196,231,294,308,462,539,588,924,1078,1617,2156,3234,6468

Greatest Common Factor

We found the factors 36,6468 . The biggest common factor number is the GCF number.
So the greatest common factor 36,6468 is 12.


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 494/36, 696/6468

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 494/36, 696/6468?

Answer: LCM of Numerators as per given numbers 494/36, 696/6468 is

LCM of Numerators i.e. for 494,696 is 171912

GCF of denominators i.e. for 36,6468 is 12.

Thus, LCM of Fractions is 14326.Finally, LCM of Fractions for 494/36, 696/6468 is 14326.