Least Common Multiple of 27/19, 73/37, 94/55, 69/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/19, 73/37, 94/55, 69/568 quickly i.e. 4261302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/19, 73/37, 94/55, 69/568 is 4261302.

LCM(27/19, 73/37, 94/55, 69/568) = 4261302

LCM of 27/19, 73/37, 94/55, 69/568

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 27/19,73/37,94/55,69/568

Given numbers are 27/19,73/37,94/55,69/568

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 27,73,94,69

Least Common Multiple of Numerators i.e. LCM of 27,73,94,69 is 4261302.

GCF of Denominators means GCF of 19,37,55,568 as per the given fractions.

GCF of 19,37,55,568 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,73,94,69

LCM of Fractions 27/19,73/37,94/55,69/568 is 4261302

3 27, 73, 94, 69
9, 73, 94, 23

∴ So the LCM of the given numbers is 3 x 9 x 73 x 94 x 23 = 4261302

Least Common Multiple of 27,73,94,69 with GCF Formula

Least Common Multiple of 27,73,94,69 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 27,73,94,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,73,94,69) = 1

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

GCF(27,73,94,69) x common factors =1 x 3 = 3

LCM(27,73,94,69) = ( 27 × 73 × 94 × 69 ) / 3

LCM(27,73,94,69) = 12783906 / 3

LCM(27,73,94,69) = 4261302


Lets's calculate GCF of 19,37,55,568

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4261302/1

Therefore the LCM of Fractions 27/19,73/37,94/55,69/568 is 4261302

Greatest Common Factor of 19,37,55,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,37,55,568 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 19,37,55,568 . The biggest common factor number is the GCF number.
So the greatest common factor 19,37,55,568 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 27/19, 73/37, 94/55, 69/568

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 27/19, 73/37, 94/55, 69/568?

Answer: LCM of Numerators as per given numbers 27/19, 73/37, 94/55, 69/568 is

LCM of Numerators i.e. for 27,73,94,69 is 4261302

GCF of denominators i.e. for 19,37,55,568 is 1.

Thus, LCM of Fractions is 4261302.Finally, LCM of Fractions for 27/19, 73/37, 94/55, 69/568 is 4261302.