Least Common Multiple of 58/33, 96/28, 65/16, 38/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/33, 96/28, 65/16, 38/783 quickly i.e. 3438240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/33, 96/28, 65/16, 38/783 is 3438240.

LCM(58/33, 96/28, 65/16, 38/783) = 3438240

LCM of 58/33, 96/28, 65/16, 38/783

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 58/33,96/28,65/16,38/783

Given numbers are 58/33,96/28,65/16,38/783

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 58,96,65,38

Least Common Multiple of Numerators i.e. LCM of 58,96,65,38 is 3438240.

GCF of Denominators means GCF of 33,28,16,783 as per the given fractions.

GCF of 33,28,16,783 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,96,65,38

LCM of Fractions 58/33,96/28,65/16,38/783 is 3438240

2 58, 96, 65, 38
29, 48, 65, 19

∴ So the LCM of the given numbers is 2 x 29 x 48 x 65 x 19 = 3438240

Least Common Multiple of 58,96,65,38 with GCF Formula

Least Common Multiple of 58,96,65,38 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 58,96,65,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,96,65,38) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(58,96,65,38) x common factors =1 x 4 = 4

LCM(58,96,65,38) = ( 58 × 96 × 65 × 38 ) / 4

LCM(58,96,65,38) = 13752960 / 4

LCM(58,96,65,38) = 3438240


Lets's calculate GCF of 33,28,16,783

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3438240/1

Therefore the LCM of Fractions 58/33,96/28,65/16,38/783 is 3438240

Greatest Common Factor of 33,28,16,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,28,16,783 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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 33,28,16,783 . The biggest common factor number is the GCF number.
So the greatest common factor 33,28,16,783 is 1.


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 58/33, 96/28, 65/16, 38/783

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 58/33, 96/28, 65/16, 38/783?

Answer: LCM of Numerators as per given numbers 58/33, 96/28, 65/16, 38/783 is

LCM of Numerators i.e. for 58,96,65,38 is 3438240

GCF of denominators i.e. for 33,28,16,783 is 1.

Thus, LCM of Fractions is 3438240.Finally, LCM of Fractions for 58/33, 96/28, 65/16, 38/783 is 3438240.