Least Common Multiple of 731/27, 720/6090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 731/27, 720/6090 quickly i.e. 175440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 731/27, 720/6090 is 175440.

LCM(731/27, 720/6090) = 175440

LCM of 731/27, 720/6090

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 731/27,720/6090

Given numbers are 731/27,720/6090

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 731,720

Least Common Multiple of Numerators i.e. LCM of 731,720 is 526320.

GCF of Denominators means GCF of 27,6090 as per the given fractions.

GCF of 27,6090 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 731,720

LCM of Fractions 731/27,720/6090 is 175440

Given numbers has no common factors except 1. So, there LCM is their product i.e 526320

Least Common Multiple of 731,720 with GCF Formula

Least Common Multiple of 731,720 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 731,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,720) = 1

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

GCF(731,720) x common factors =1 x 1 = 1

LCM(731,720) = ( 731 × 720 ) / 1

LCM(731,720) = 526320 / 1

LCM(731,720) = 526320


Lets's calculate GCF of 27,6090

3 27, 6090
9, 2030

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 526320/3

Therefore the LCM of Fractions 731/27,720/6090 is 175440

Greatest Common Factor of 27,6090 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,6090 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 6090

List of positive integer factors of 6090 that divides 6090 without a remainder.

1,2,3,5,6,7,10,14,15,21,29,30,35,42,58,70,87,105,145,174,203,210,290,406,435,609,870,1015,1218,2030,3045,6090

Greatest Common Factor

We found the factors 27,6090 . The biggest common factor number is the GCF number.
So the greatest common factor 27,6090 is 3.


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 731/27, 720/6090

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 731/27, 720/6090?

Answer: LCM of Numerators as per given numbers 731/27, 720/6090 is

LCM of Numerators i.e. for 731,720 is 526320

GCF of denominators i.e. for 27,6090 is 3.

Thus, LCM of Fractions is 175440.Finally, LCM of Fractions for 731/27, 720/6090 is 175440.