Least Common Multiple of 96/409, 891/315, 394/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/409, 891/315, 394/272 quickly i.e. 5616864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/409, 891/315, 394/272 is 5616864.

LCM(96/409, 891/315, 394/272) = 5616864

LCM of 96/409, 891/315, 394/272

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 96/409,891/315,394/272

Given numbers are 96/409,891/315,394/272

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 96,891,394

Least Common Multiple of Numerators i.e. LCM of 96,891,394 is 5616864.

GCF of Denominators means GCF of 409,315,272 as per the given fractions.

GCF of 409,315,272 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,891,394

LCM of Fractions 96/409,891/315,394/272 is 5616864

2 96, 891, 394
3 48, 891, 197
16, 297, 197

∴ So the LCM of the given numbers is 2 x 3 x 16 x 297 x 197 = 5616864

Least Common Multiple of 96,891,394 with GCF Formula

Least Common Multiple of 96,891,394 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 96,891,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,891,394) = 1

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

GCF(96,891,394) x common factors =1 x 6 = 6

LCM(96,891,394) = ( 96 × 891 × 394 ) / 6

LCM(96,891,394) = 33701184 / 6

LCM(96,891,394) = 5616864


Lets's calculate GCF of 409,315,272

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5616864/1

Therefore the LCM of Fractions 96/409,891/315,394/272 is 5616864

Greatest Common Factor of 409,315,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,315,272 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 409,315,272 . The biggest common factor number is the GCF number.
So the greatest common factor 409,315,272 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 96/409, 891/315, 394/272

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 96/409, 891/315, 394/272?

Answer: LCM of Numerators as per given numbers 96/409, 891/315, 394/272 is

LCM of Numerators i.e. for 96,891,394 is 5616864

GCF of denominators i.e. for 409,315,272 is 1.

Thus, LCM of Fractions is 5616864.Finally, LCM of Fractions for 96/409, 891/315, 394/272 is 5616864.