Least Common Multiple of 711/747, 380/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 711/747, 380/599 quickly i.e. 270180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 711/747, 380/599 is 270180.

LCM(711/747, 380/599) = 270180

LCM of 711/747, 380/599

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 711/747,380/599

Given numbers are 711/747,380/599

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 711,380

Least Common Multiple of Numerators i.e. LCM of 711,380 is 270180.

GCF of Denominators means GCF of 747,599 as per the given fractions.

GCF of 747,599 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 711,380

LCM of Fractions 711/747,380/599 is 270180

Given numbers has no common factors except 1. So, there LCM is their product i.e 270180

Least Common Multiple of 711,380 with GCF Formula

Least Common Multiple of 711,380 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 711,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,380) = 1

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

GCF(711,380) x common factors =1 x 1 = 1

LCM(711,380) = ( 711 × 380 ) / 1

LCM(711,380) = 270180 / 1

LCM(711,380) = 270180


Lets's calculate GCF of 747,599

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270180/1

Therefore the LCM of Fractions 711/747,380/599 is 270180

Greatest Common Factor of 747,599 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,599 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Greatest Common Factor

We found the factors 747,599 . The biggest common factor number is the GCF number.
So the greatest common factor 747,599 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 711/747, 380/599

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 711/747, 380/599?

Answer: LCM of Numerators as per given numbers 711/747, 380/599 is

LCM of Numerators i.e. for 711,380 is 270180

GCF of denominators i.e. for 747,599 is 1.

Thus, LCM of Fractions is 270180.Finally, LCM of Fractions for 711/747, 380/599 is 270180.