Least Common Multiple of 663/345, 287/115, 275/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 663/345, 287/115, 275/843 quickly i.e. 52327275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 663/345, 287/115, 275/843 is 52327275.

LCM(663/345, 287/115, 275/843) = 52327275

LCM of 663/345, 287/115, 275/843

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 663/345,287/115,275/843

Given numbers are 663/345,287/115,275/843

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 663,287,275

Least Common Multiple of Numerators i.e. LCM of 663,287,275 is 52327275.

GCF of Denominators means GCF of 345,115,843 as per the given fractions.

GCF of 345,115,843 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 663,287,275

LCM of Fractions 663/345,287/115,275/843 is 52327275

Given numbers has no common factors except 1. So, there LCM is their product i.e 52327275

Least Common Multiple of 663,287,275 with GCF Formula

Least Common Multiple of 663,287,275 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 663,287,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,287,275) = 1

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

GCF(663,287,275) x common factors =1 x 1 = 1

LCM(663,287,275) = ( 663 × 287 × 275 ) / 1

LCM(663,287,275) = 52327275 / 1

LCM(663,287,275) = 52327275


Lets's calculate GCF of 345,115,843

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52327275/1

Therefore the LCM of Fractions 663/345,287/115,275/843 is 52327275

Greatest Common Factor of 345,115,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,115,843 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors 345,115,843 . The biggest common factor number is the GCF number.
So the greatest common factor 345,115,843 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 663/345, 287/115, 275/843

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 663/345, 287/115, 275/843?

Answer: LCM of Numerators as per given numbers 663/345, 287/115, 275/843 is

LCM of Numerators i.e. for 663,287,275 is 52327275

GCF of denominators i.e. for 345,115,843 is 1.

Thus, LCM of Fractions is 52327275.Finally, LCM of Fractions for 663/345, 287/115, 275/843 is 52327275.