Least Common Multiple of 41/39, 447/60, 288/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/39, 447/60, 288/816 quickly i.e. 586464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/39, 447/60, 288/816 is 586464.

LCM(41/39, 447/60, 288/816) = 586464

LCM of 41/39, 447/60, 288/816

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 41/39,447/60,288/816

Given numbers are 41/39,447/60,288/816

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 41,447,288

Least Common Multiple of Numerators i.e. LCM of 41,447,288 is 1759392.

GCF of Denominators means GCF of 39,60,816 as per the given fractions.

GCF of 39,60,816 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,447,288

LCM of Fractions 41/39,447/60,288/816 is 586464

3 41, 447, 288
41, 149, 96

∴ So the LCM of the given numbers is 3 x 41 x 149 x 96 = 1759392

Least Common Multiple of 41,447,288 with GCF Formula

Least Common Multiple of 41,447,288 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 41,447,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,447,288) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(41,447,288) x common factors =1 x 3 = 3

LCM(41,447,288) = ( 41 × 447 × 288 ) / 3

LCM(41,447,288) = 5278176 / 3

LCM(41,447,288) = 1759392


Lets's calculate GCF of 39,60,816

3 39, 60, 816
13, 20, 272

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1759392/3

Therefore the LCM of Fractions 41/39,447/60,288/816 is 586464

Greatest Common Factor of 39,60,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,60,816 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 39,60,816 . The biggest common factor number is the GCF number.
So the greatest common factor 39,60,816 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 41/39, 447/60, 288/816

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 41/39, 447/60, 288/816?

Answer: LCM of Numerators as per given numbers 41/39, 447/60, 288/816 is

LCM of Numerators i.e. for 41,447,288 is 1759392

GCF of denominators i.e. for 39,60,816 is 3.

Thus, LCM of Fractions is 586464.Finally, LCM of Fractions for 41/39, 447/60, 288/816 is 586464.