Least Common Multiple of 72/415, 40/728, 578/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/415, 40/728, 578/209 quickly i.e. 104040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/415, 40/728, 578/209 is 104040.

LCM(72/415, 40/728, 578/209) = 104040

LCM of 72/415, 40/728, 578/209

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 72/415,40/728,578/209

Given numbers are 72/415,40/728,578/209

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 72,40,578

Least Common Multiple of Numerators i.e. LCM of 72,40,578 is 104040.

GCF of Denominators means GCF of 415,728,209 as per the given fractions.

GCF of 415,728,209 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,40,578

LCM of Fractions 72/415,40/728,578/209 is 104040

2 72, 40, 578
2 36, 20, 289
2 18, 10, 289
9, 5, 289

∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 5 x 289 = 104040

Least Common Multiple of 72,40,578 with GCF Formula

Least Common Multiple of 72,40,578 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 72,40,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,40,578) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(72,40,578) x common factors =2 x 8 = 16

LCM(72,40,578) = ( 72 × 40 × 578 ) / 16

LCM(72,40,578) = 1664640 / 16

LCM(72,40,578) = 104040


Lets's calculate GCF of 415,728,209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104040/1

Therefore the LCM of Fractions 72/415,40/728,578/209 is 104040

Greatest Common Factor of 415,728,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,728,209 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 415,728,209 . The biggest common factor number is the GCF number.
So the greatest common factor 415,728,209 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 72/415, 40/728, 578/209

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 72/415, 40/728, 578/209?

Answer: LCM of Numerators as per given numbers 72/415, 40/728, 578/209 is

LCM of Numerators i.e. for 72,40,578 is 104040

GCF of denominators i.e. for 415,728,209 is 1.

Thus, LCM of Fractions is 104040.Finally, LCM of Fractions for 72/415, 40/728, 578/209 is 104040.