Least Common Multiple of 424/66, 636/5184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 424/66, 636/5184 quickly i.e. 212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 424/66, 636/5184 is 212.

LCM(424/66, 636/5184) = 212

LCM of 424/66, 636/5184

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 424/66,636/5184

Given numbers are 424/66,636/5184

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 424,636

Least Common Multiple of Numerators i.e. LCM of 424,636 is 1272.

GCF of Denominators means GCF of 66,5184 as per the given fractions.

GCF of 66,5184 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 424,636

LCM of Fractions 424/66,636/5184 is 212

2 424, 636
2 212, 318
53 106, 159
2, 3

∴ So the LCM of the given numbers is 2 x 2 x 53 x 2 x 3 = 1272

Least Common Multiple of 424,636 with GCF Formula

Least Common Multiple of 424,636 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 424,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,636) = 212

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

GCF(424,636) x common factors =212 x 1 = 212

LCM(424,636) = ( 424 × 636 ) / 212

LCM(424,636) = 269664 / 212

LCM(424,636) = 1272


Lets's calculate GCF of 66,5184

2 66, 5184
3 33, 2592
11, 864

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1272/6

Therefore the LCM of Fractions 424/66,636/5184 is 212

Greatest Common Factor of 66,5184 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,5184 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 5184

List of positive integer factors of 5184 that divides 5184 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,81,96,108,144,162,192,216,288,324,432,576,648,864,1296,1728,2592,5184

Greatest Common Factor

We found the factors 66,5184 . The biggest common factor number is the GCF number.
So the greatest common factor 66,5184 is 6.


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 424/66, 636/5184

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 424/66, 636/5184?

Answer: LCM of Numerators as per given numbers 424/66, 636/5184 is

LCM of Numerators i.e. for 424,636 is 1272

GCF of denominators i.e. for 66,5184 is 6.

Thus, LCM of Fractions is 212.Finally, LCM of Fractions for 424/66, 636/5184 is 212.