Least Common Multiple of 6648/612, 2808/9396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6648/612, 2808/9396 quickly i.e. 21606 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6648/612, 2808/9396 is 21606.

LCM(6648/612, 2808/9396) = 21606

LCM of 6648/612, 2808/9396

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 6648/612,2808/9396

Given numbers are 6648/612,2808/9396

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 6648,2808

Least Common Multiple of Numerators i.e. LCM of 6648,2808 is 777816.

GCF of Denominators means GCF of 612,9396 as per the given fractions.

GCF of 612,9396 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6648,2808

LCM of Fractions 6648/612,2808/9396 is 21606

2 6648, 2808
2 3324, 1404
2 1662, 702
3 831, 351
277, 117

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 277 x 117 = 777816

Least Common Multiple of 6648,2808 with GCF Formula

Least Common Multiple of 6648,2808 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 6648,2808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6648,2808) = 24

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

GCF(6648,2808) x common factors =24 x 1 = 24

LCM(6648,2808) = ( 6648 × 2808 ) / 24

LCM(6648,2808) = 18667584 / 24

LCM(6648,2808) = 777816


Lets's calculate GCF of 612,9396

2 612, 9396
2 306, 4698
3 153, 2349
3 51, 783
17, 261

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 777816/36

Therefore the LCM of Fractions 6648/612,2808/9396 is 21606

Greatest Common Factor of 612,9396 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,9396 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 9396

List of positive integer factors of 9396 that divides 9396 without a remainder.

1,2,3,4,6,9,12,18,27,29,36,54,58,81,87,108,116,162,174,261,324,348,522,783,1044,1566,2349,3132,4698,9396

Greatest Common Factor

We found the factors 612,9396 . The biggest common factor number is the GCF number.
So the greatest common factor 612,9396 is 36.


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 6648/612, 2808/9396

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 6648/612, 2808/9396?

Answer: LCM of Numerators as per given numbers 6648/612, 2808/9396 is

LCM of Numerators i.e. for 6648,2808 is 777816

GCF of denominators i.e. for 612,9396 is 36.

Thus, LCM of Fractions is 21606.Finally, LCM of Fractions for 6648/612, 2808/9396 is 21606.