Least Common Multiple of 1656/663, 3304/2790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1656/663, 3304/2790 quickly i.e. 227976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1656/663, 3304/2790 is 227976.

LCM(1656/663, 3304/2790) = 227976

LCM of 1656/663, 3304/2790

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 1656/663,3304/2790

Given numbers are 1656/663,3304/2790

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 1656,3304

Least Common Multiple of Numerators i.e. LCM of 1656,3304 is 683928.

GCF of Denominators means GCF of 663,2790 as per the given fractions.

GCF of 663,2790 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1656,3304

LCM of Fractions 1656/663,3304/2790 is 227976

2 1656, 3304
2 828, 1652
2 414, 826
207, 413

∴ So the LCM of the given numbers is 2 x 2 x 2 x 207 x 413 = 683928

Least Common Multiple of 1656,3304 with GCF Formula

Least Common Multiple of 1656,3304 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 1656,3304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1656,3304) = 8

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

GCF(1656,3304) x common factors =8 x 1 = 8

LCM(1656,3304) = ( 1656 × 3304 ) / 8

LCM(1656,3304) = 5471424 / 8

LCM(1656,3304) = 683928


Lets's calculate GCF of 663,2790

3 663, 2790
221, 930

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 683928/3

Therefore the LCM of Fractions 1656/663,3304/2790 is 227976

Greatest Common Factor of 663,2790 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,2790 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 2790

List of positive integer factors of 2790 that divides 2790 without a remainder.

1,2,3,5,6,9,10,15,18,30,31,45,62,90,93,155,186,279,310,465,558,930,1395,2790

Greatest Common Factor

We found the factors 663,2790 . The biggest common factor number is the GCF number.
So the greatest common factor 663,2790 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 1656/663, 3304/2790

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 1656/663, 3304/2790?

Answer: LCM of Numerators as per given numbers 1656/663, 3304/2790 is

LCM of Numerators i.e. for 1656,3304 is 683928

GCF of denominators i.e. for 663,2790 is 3.

Thus, LCM of Fractions is 227976.Finally, LCM of Fractions for 1656/663, 3304/2790 is 227976.