Least Common Multiple of 583/33, 424/2772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 583/33, 424/2772 quickly i.e. 4664/33 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 583/33, 424/2772 is 4664/33.

LCM(583/33, 424/2772) = 4664/33

LCM of 583/33, 424/2772

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 583/33,424/2772

Given numbers are 583/33,424/2772

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 583,424

Least Common Multiple of Numerators i.e. LCM of 583,424 is 4664.

GCF of Denominators means GCF of 33,2772 as per the given fractions.

GCF of 33,2772 is 33 as it is the largest common factor for these numbers.

Lets's calculate LCM of 583,424

LCM of Fractions 583/33,424/2772 is 4664/33

53 583, 424
11, 8

∴ So the LCM of the given numbers is 53 x 11 x 8 = 4664

Least Common Multiple of 583,424 with GCF Formula

Least Common Multiple of 583,424 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 583,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,424) = 53

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

GCF(583,424) x common factors =53 x 1 = 53

LCM(583,424) = ( 583 × 424 ) / 53

LCM(583,424) = 247192 / 53

LCM(583,424) = 4664


Lets's calculate GCF of 33,2772

3 33, 2772
11 11, 924
1, 84

∴ So the GCF of the given numbers is 3 x 11 = 33

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4664/33

Therefore the LCM of Fractions 583/33,424/2772 is 4664/33

Greatest Common Factor of 33,2772 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,2772 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 2772

List of positive integer factors of 2772 that divides 2772 without a remainder.

1,2,3,4,6,7,9,11,12,14,18,21,22,28,33,36,42,44,63,66,77,84,99,126,132,154,198,231,252,308,396,462,693,924,1386,2772

Greatest Common Factor

We found the factors 33,2772 . The biggest common factor number is the GCF number.
So the greatest common factor 33,2772 is 33.


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 583/33, 424/2772

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 583/33, 424/2772?

Answer: LCM of Numerators as per given numbers 583/33, 424/2772 is

LCM of Numerators i.e. for 583,424 is 4664

GCF of denominators i.e. for 33,2772 is 33.

Thus, LCM of Fractions is 4664/33.Finally, LCM of Fractions for 583/33, 424/2772 is 4664/33.