Least Common Multiple of 687/733, 544/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 687/733, 544/223 quickly i.e. 373728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 687/733, 544/223 is 373728.

LCM(687/733, 544/223) = 373728

LCM of 687/733, 544/223

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 687/733,544/223

Given numbers are 687/733,544/223

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 687,544

Least Common Multiple of Numerators i.e. LCM of 687,544 is 373728.

GCF of Denominators means GCF of 733,223 as per the given fractions.

GCF of 733,223 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 687,544

LCM of Fractions 687/733,544/223 is 373728

Given numbers has no common factors except 1. So, there LCM is their product i.e 373728

Least Common Multiple of 687,544 with GCF Formula

Least Common Multiple of 687,544 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 687,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,544) = 1

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

GCF(687,544) x common factors =1 x 1 = 1

LCM(687,544) = ( 687 × 544 ) / 1

LCM(687,544) = 373728 / 1

LCM(687,544) = 373728


Lets's calculate GCF of 733,223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 373728/1

Therefore the LCM of Fractions 687/733,544/223 is 373728

Greatest Common Factor of 733,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,223 By Matching Biggest Common Factor Method

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Greatest Common Factor

We found the factors 733,223 . The biggest common factor number is the GCF number.
So the greatest common factor 733,223 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 687/733, 544/223

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 687/733, 544/223?

Answer: LCM of Numerators as per given numbers 687/733, 544/223 is

LCM of Numerators i.e. for 687,544 is 373728

GCF of denominators i.e. for 733,223 is 1.

Thus, LCM of Fractions is 373728.Finally, LCM of Fractions for 687/733, 544/223 is 373728.