Least Common Multiple of 660/723, 323/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 660/723, 323/380 quickly i.e. 213180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 660/723, 323/380 is 213180.

LCM(660/723, 323/380) = 213180

LCM of 660/723, 323/380

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 660/723,323/380

Given numbers are 660/723,323/380

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 660,323

Least Common Multiple of Numerators i.e. LCM of 660,323 is 213180.

GCF of Denominators means GCF of 723,380 as per the given fractions.

GCF of 723,380 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 660,323

LCM of Fractions 660/723,323/380 is 213180

Given numbers has no common factors except 1. So, there LCM is their product i.e 213180

Least Common Multiple of 660,323 with GCF Formula

Least Common Multiple of 660,323 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 660,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,323) = 1

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

GCF(660,323) x common factors =1 x 1 = 1

LCM(660,323) = ( 660 × 323 ) / 1

LCM(660,323) = 213180 / 1

LCM(660,323) = 213180


Lets's calculate GCF of 723,380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213180/1

Therefore the LCM of Fractions 660/723,323/380 is 213180

Greatest Common Factor of 723,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,380 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 723,380 . The biggest common factor number is the GCF number.
So the greatest common factor 723,380 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 660/723, 323/380

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 660/723, 323/380?

Answer: LCM of Numerators as per given numbers 660/723, 323/380 is

LCM of Numerators i.e. for 660,323 is 213180

GCF of denominators i.e. for 723,380 is 1.

Thus, LCM of Fractions is 213180.Finally, LCM of Fractions for 660/723, 323/380 is 213180.