Least Common Multiple of 27/330, 58/300, 950/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/330, 58/300, 950/160 quickly i.e. 74385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/330, 58/300, 950/160 is 74385.

LCM(27/330, 58/300, 950/160) = 74385

LCM of 27/330, 58/300, 950/160

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 27/330,58/300,950/160

Given numbers are 27/330,58/300,950/160

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 27,58,950

Least Common Multiple of Numerators i.e. LCM of 27,58,950 is 743850.

GCF of Denominators means GCF of 330,300,160 as per the given fractions.

GCF of 330,300,160 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,58,950

LCM of Fractions 27/330,58/300,950/160 is 74385

2 27, 58, 950
27, 29, 475

∴ So the LCM of the given numbers is 2 x 27 x 29 x 475 = 743850

Least Common Multiple of 27,58,950 with GCF Formula

Least Common Multiple of 27,58,950 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 27,58,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,58,950) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(27,58,950) x common factors =1 x 2 = 2

LCM(27,58,950) = ( 27 × 58 × 950 ) / 2

LCM(27,58,950) = 1487700 / 2

LCM(27,58,950) = 743850


Lets's calculate GCF of 330,300,160

2 330, 300, 160
5 165, 150, 80
33, 30, 16

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 743850/10

Therefore the LCM of Fractions 27/330,58/300,950/160 is 74385

Greatest Common Factor of 330,300,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,300,160 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 330,300,160 . The biggest common factor number is the GCF number.
So the greatest common factor 330,300,160 is 10.


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 27/330, 58/300, 950/160

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 27/330, 58/300, 950/160?

Answer: LCM of Numerators as per given numbers 27/330, 58/300, 950/160 is

LCM of Numerators i.e. for 27,58,950 is 743850

GCF of denominators i.e. for 330,300,160 is 10.

Thus, LCM of Fractions is 74385.Finally, LCM of Fractions for 27/330, 58/300, 950/160 is 74385.