Least Common Multiple of 869/27, 575/19, 567/73

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 869/27, 575/19, 567/73 quickly i.e. 283315725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 869/27, 575/19, 567/73 is 283315725.

LCM(869/27, 575/19, 567/73) = 283315725

LCM of 869/27, 575/19, 567/73

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 869/27,575/19,567/73

Given numbers are 869/27,575/19,567/73

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 869,575,567

Least Common Multiple of Numerators i.e. LCM of 869,575,567 is 283315725.

GCF of Denominators means GCF of 27,19,73 as per the given fractions.

GCF of 27,19,73 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 869,575,567

LCM of Fractions 869/27,575/19,567/73 is 283315725

Given numbers has no common factors except 1. So, there LCM is their product i.e 283315725

Least Common Multiple of 869,575,567 with GCF Formula

Least Common Multiple of 869,575,567 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 869,575,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,575,567) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(869,575,567) x common factors =1 x 1 = 1

LCM(869,575,567) = ( 869 × 575 × 567 ) / 1

LCM(869,575,567) = 283315725 / 1

LCM(869,575,567) = 283315725


Lets's calculate GCF of 27,19,73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 283315725/1

Therefore the LCM of Fractions 869/27,575/19,567/73 is 283315725

Greatest Common Factor of 27,19,73 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,19,73 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 19

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

1,19

Factors of 73

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

1,73

Greatest Common Factor

We found the factors 27,19,73 . The biggest common factor number is the GCF number.
So the greatest common factor 27,19,73 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 869/27, 575/19, 567/73

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 869/27, 575/19, 567/73?

Answer: LCM of Numerators as per given numbers 869/27, 575/19, 567/73 is

LCM of Numerators i.e. for 869,575,567 is 283315725

GCF of denominators i.e. for 27,19,73 is 1.

Thus, LCM of Fractions is 283315725.Finally, LCM of Fractions for 869/27, 575/19, 567/73 is 283315725.