Least Common Multiple of 96/187, 821/540, 489/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/187, 821/540, 489/351 quickly i.e. 12847008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/187, 821/540, 489/351 is 12847008.

LCM(96/187, 821/540, 489/351) = 12847008

LCM of 96/187, 821/540, 489/351

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 96/187,821/540,489/351

Given numbers are 96/187,821/540,489/351

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 96,821,489

Least Common Multiple of Numerators i.e. LCM of 96,821,489 is 12847008.

GCF of Denominators means GCF of 187,540,351 as per the given fractions.

GCF of 187,540,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,821,489

LCM of Fractions 96/187,821/540,489/351 is 12847008

3 96, 821, 489
32, 821, 163

∴ So the LCM of the given numbers is 3 x 32 x 821 x 163 = 12847008

Least Common Multiple of 96,821,489 with GCF Formula

Least Common Multiple of 96,821,489 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 96,821,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,821,489) = 1

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

GCF(96,821,489) x common factors =1 x 3 = 3

LCM(96,821,489) = ( 96 × 821 × 489 ) / 3

LCM(96,821,489) = 38541024 / 3

LCM(96,821,489) = 12847008


Lets's calculate GCF of 187,540,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12847008/1

Therefore the LCM of Fractions 96/187,821/540,489/351 is 12847008

Greatest Common Factor of 187,540,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,540,351 By Matching Biggest Common Factor Method

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 187,540,351 . The biggest common factor number is the GCF number.
So the greatest common factor 187,540,351 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 96/187, 821/540, 489/351

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 96/187, 821/540, 489/351?

Answer: LCM of Numerators as per given numbers 96/187, 821/540, 489/351 is

LCM of Numerators i.e. for 96,821,489 is 12847008

GCF of denominators i.e. for 187,540,351 is 1.

Thus, LCM of Fractions is 12847008.Finally, LCM of Fractions for 96/187, 821/540, 489/351 is 12847008.