Least Common Multiple of 72/288, 39/510, 470/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/288, 39/510, 470/399 quickly i.e. 73320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/288, 39/510, 470/399 is 73320.

LCM(72/288, 39/510, 470/399) = 73320

LCM of 72/288, 39/510, 470/399

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 72/288,39/510,470/399

Given numbers are 72/288,39/510,470/399

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 72,39,470

Least Common Multiple of Numerators i.e. LCM of 72,39,470 is 219960.

GCF of Denominators means GCF of 288,510,399 as per the given fractions.

GCF of 288,510,399 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,39,470

LCM of Fractions 72/288,39/510,470/399 is 73320

2 72, 39, 470
3 36, 39, 235
12, 13, 235

∴ So the LCM of the given numbers is 2 x 3 x 12 x 13 x 235 = 219960

Least Common Multiple of 72,39,470 with GCF Formula

Least Common Multiple of 72,39,470 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 72,39,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,39,470) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(72,39,470) x common factors =1 x 6 = 6

LCM(72,39,470) = ( 72 × 39 × 470 ) / 6

LCM(72,39,470) = 1319760 / 6

LCM(72,39,470) = 219960


Lets's calculate GCF of 288,510,399

3 288, 510, 399
96, 170, 133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219960/3

Therefore the LCM of Fractions 72/288,39/510,470/399 is 73320

Greatest Common Factor of 288,510,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,510,399 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 288,510,399 . The biggest common factor number is the GCF number.
So the greatest common factor 288,510,399 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 72/288, 39/510, 470/399

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 72/288, 39/510, 470/399?

Answer: LCM of Numerators as per given numbers 72/288, 39/510, 470/399 is

LCM of Numerators i.e. for 72,39,470 is 219960

GCF of denominators i.e. for 288,510,399 is 3.

Thus, LCM of Fractions is 73320.Finally, LCM of Fractions for 72/288, 39/510, 470/399 is 73320.