Least Common Multiple of 27/76, 17/73, 442/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/76, 17/73, 442/825 quickly i.e. 11934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/76, 17/73, 442/825 is 11934.

LCM(27/76, 17/73, 442/825) = 11934

LCM of 27/76, 17/73, 442/825

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 27/76,17/73,442/825

Given numbers are 27/76,17/73,442/825

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 27,17,442

Least Common Multiple of Numerators i.e. LCM of 27,17,442 is 11934.

GCF of Denominators means GCF of 76,73,825 as per the given fractions.

GCF of 76,73,825 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,17,442

LCM of Fractions 27/76,17/73,442/825 is 11934

17 27, 17, 442
27, 1, 26

∴ So the LCM of the given numbers is 17 x 27 x 1 x 26 = 11934

Least Common Multiple of 27,17,442 with GCF Formula

Least Common Multiple of 27,17,442 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 27,17,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,17,442) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(27,17,442) x common factors =1 x 17 = 17

LCM(27,17,442) = ( 27 × 17 × 442 ) / 17

LCM(27,17,442) = 202878 / 17

LCM(27,17,442) = 11934


Lets's calculate GCF of 76,73,825

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11934/1

Therefore the LCM of Fractions 27/76,17/73,442/825 is 11934

Greatest Common Factor of 76,73,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,73,825 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 76,73,825 . The biggest common factor number is the GCF number.
So the greatest common factor 76,73,825 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 27/76, 17/73, 442/825

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 27/76, 17/73, 442/825?

Answer: LCM of Numerators as per given numbers 27/76, 17/73, 442/825 is

LCM of Numerators i.e. for 27,17,442 is 11934

GCF of denominators i.e. for 76,73,825 is 1.

Thus, LCM of Fractions is 11934.Finally, LCM of Fractions for 27/76, 17/73, 442/825 is 11934.