Least Common Multiple of 720/93, 471/9720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 720/93, 471/9720 quickly i.e. 37680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 720/93, 471/9720 is 37680.

LCM(720/93, 471/9720) = 37680

LCM of 720/93, 471/9720

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 720/93,471/9720

Given numbers are 720/93,471/9720

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 720,471

Least Common Multiple of Numerators i.e. LCM of 720,471 is 113040.

GCF of Denominators means GCF of 93,9720 as per the given fractions.

GCF of 93,9720 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 720,471

LCM of Fractions 720/93,471/9720 is 37680

3 720, 471
240, 157

∴ So the LCM of the given numbers is 3 x 240 x 157 = 113040

Least Common Multiple of 720,471 with GCF Formula

Least Common Multiple of 720,471 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 720,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,471) = 3

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

GCF(720,471) x common factors =3 x 1 = 3

LCM(720,471) = ( 720 × 471 ) / 3

LCM(720,471) = 339120 / 3

LCM(720,471) = 113040


Lets's calculate GCF of 93,9720

3 93, 9720
31, 3240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113040/3

Therefore the LCM of Fractions 720/93,471/9720 is 37680

Greatest Common Factor of 93,9720 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,9720 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 9720

List of positive integer factors of 9720 that divides 9720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,243,270,324,360,405,486,540,648,810,972,1080,1215,1620,1944,2430,3240,4860,9720

Greatest Common Factor

We found the factors 93,9720 . The biggest common factor number is the GCF number.
So the greatest common factor 93,9720 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 720/93, 471/9720

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 720/93, 471/9720?

Answer: LCM of Numerators as per given numbers 720/93, 471/9720 is

LCM of Numerators i.e. for 720,471 is 113040

GCF of denominators i.e. for 93,9720 is 3.

Thus, LCM of Fractions is 37680.Finally, LCM of Fractions for 720/93, 471/9720 is 37680.