Least Common Multiple of 711/20, 367/7489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 711/20, 367/7489 quickly i.e. 260937 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 711/20, 367/7489 is 260937.

LCM(711/20, 367/7489) = 260937

LCM of 711/20, 367/7489

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 711/20,367/7489

Given numbers are 711/20,367/7489

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 711,367

Least Common Multiple of Numerators i.e. LCM of 711,367 is 260937.

GCF of Denominators means GCF of 20,7489 as per the given fractions.

GCF of 20,7489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 711,367

LCM of Fractions 711/20,367/7489 is 260937

Given numbers has no common factors except 1. So, there LCM is their product i.e 260937

Least Common Multiple of 711,367 with GCF Formula

Least Common Multiple of 711,367 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 711,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,367) = 1

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

GCF(711,367) x common factors =1 x 1 = 1

LCM(711,367) = ( 711 × 367 ) / 1

LCM(711,367) = 260937 / 1

LCM(711,367) = 260937


Lets's calculate GCF of 20,7489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260937/1

Therefore the LCM of Fractions 711/20,367/7489 is 260937

Greatest Common Factor of 20,7489 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,7489 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 7489

List of positive integer factors of 7489 that divides 7489 without a remainder.

1,7489

Greatest Common Factor

We found the factors 20,7489 . The biggest common factor number is the GCF number.
So the greatest common factor 20,7489 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 711/20, 367/7489

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 711/20, 367/7489?

Answer: LCM of Numerators as per given numbers 711/20, 367/7489 is

LCM of Numerators i.e. for 711,367 is 260937

GCF of denominators i.e. for 20,7489 is 1.

Thus, LCM of Fractions is 260937.Finally, LCM of Fractions for 711/20, 367/7489 is 260937.