Least Common Multiple of 39/363, 5733/5577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/363, 5733/5577 quickly i.e. 5733/33 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/363, 5733/5577 is 5733/33.

LCM(39/363, 5733/5577) = 5733/33

LCM of 39/363, 5733/5577

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 39/363,5733/5577

Given numbers are 39/363,5733/5577

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 39,5733

Least Common Multiple of Numerators i.e. LCM of 39,5733 is 5733.

GCF of Denominators means GCF of 363,5577 as per the given fractions.

GCF of 363,5577 is 33 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,5733

LCM of Fractions 39/363,5733/5577 is 5733/33

3 39, 5733
13 13, 1911
1, 147

∴ So the LCM of the given numbers is 3 x 13 x 1 x 147 = 5733

Least Common Multiple of 39,5733 with GCF Formula

Least Common Multiple of 39,5733 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 39,5733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,5733) = 39

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

GCF(39,5733) x common factors =39 x 1 = 39

LCM(39,5733) = ( 39 × 5733 ) / 39

LCM(39,5733) = 223587 / 39

LCM(39,5733) = 5733


Lets's calculate GCF of 363,5577

3 363, 5577
11 121, 1859
11, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5733/33

Therefore the LCM of Fractions 39/363,5733/5577 is 5733/33

Greatest Common Factor of 363,5577 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,5577 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 5577

List of positive integer factors of 5577 that divides 5577 without a remainder.

1,3,11,13,33,39,143,169,429,507,1859,5577

Greatest Common Factor

We found the factors 363,5577 . The biggest common factor number is the GCF number.
So the greatest common factor 363,5577 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 39/363, 5733/5577

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 39/363, 5733/5577?

Answer: LCM of Numerators as per given numbers 39/363, 5733/5577 is

LCM of Numerators i.e. for 39,5733 is 5733

GCF of denominators i.e. for 363,5577 is 33.

Thus, LCM of Fractions is 5733/33.Finally, LCM of Fractions for 39/363, 5733/5577 is 5733/33.