Least Common Multiple of 27/203, 69/950, 785/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/203, 69/950, 785/238 quickly i.e. 487485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/203, 69/950, 785/238 is 487485.

LCM(27/203, 69/950, 785/238) = 487485

LCM of 27/203, 69/950, 785/238

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 27/203,69/950,785/238

Given numbers are 27/203,69/950,785/238

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 27,69,785

Least Common Multiple of Numerators i.e. LCM of 27,69,785 is 487485.

GCF of Denominators means GCF of 203,950,238 as per the given fractions.

GCF of 203,950,238 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,69,785

LCM of Fractions 27/203,69/950,785/238 is 487485

3 27, 69, 785
9, 23, 785

∴ So the LCM of the given numbers is 3 x 9 x 23 x 785 = 487485

Least Common Multiple of 27,69,785 with GCF Formula

Least Common Multiple of 27,69,785 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 27,69,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,69,785) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(27,69,785) x common factors =1 x 3 = 3

LCM(27,69,785) = ( 27 × 69 × 785 ) / 3

LCM(27,69,785) = 1462455 / 3

LCM(27,69,785) = 487485


Lets's calculate GCF of 203,950,238

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 487485/1

Therefore the LCM of Fractions 27/203,69/950,785/238 is 487485

Greatest Common Factor of 203,950,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 203,950,238 By Matching Biggest Common Factor Method

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 203,950,238 . The biggest common factor number is the GCF number.
So the greatest common factor 203,950,238 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 27/203, 69/950, 785/238

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 27/203, 69/950, 785/238?

Answer: LCM of Numerators as per given numbers 27/203, 69/950, 785/238 is

LCM of Numerators i.e. for 27,69,785 is 487485

GCF of denominators i.e. for 203,950,238 is 1.

Thus, LCM of Fractions is 487485.Finally, LCM of Fractions for 27/203, 69/950, 785/238 is 487485.