Least Common Multiple of 99/888, 31/667, 468/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/888, 31/667, 468/192 quickly i.e. 159588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/888, 31/667, 468/192 is 159588.

LCM(99/888, 31/667, 468/192) = 159588

LCM of 99/888, 31/667, 468/192

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 99/888,31/667,468/192

Given numbers are 99/888,31/667,468/192

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 99,31,468

Least Common Multiple of Numerators i.e. LCM of 99,31,468 is 159588.

GCF of Denominators means GCF of 888,667,192 as per the given fractions.

GCF of 888,667,192 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,31,468

LCM of Fractions 99/888,31/667,468/192 is 159588

3 99, 31, 468
3 33, 31, 156
11, 31, 52

∴ So the LCM of the given numbers is 3 x 3 x 11 x 31 x 52 = 159588

Least Common Multiple of 99,31,468 with GCF Formula

Least Common Multiple of 99,31,468 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 99,31,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,31,468) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(99,31,468) x common factors =1 x 9 = 9

LCM(99,31,468) = ( 99 × 31 × 468 ) / 9

LCM(99,31,468) = 1436292 / 9

LCM(99,31,468) = 159588


Lets's calculate GCF of 888,667,192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159588/1

Therefore the LCM of Fractions 99/888,31/667,468/192 is 159588

Greatest Common Factor of 888,667,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 888,667,192 By Matching Biggest Common Factor Method

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 888,667,192 . The biggest common factor number is the GCF number.
So the greatest common factor 888,667,192 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 99/888, 31/667, 468/192

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 99/888, 31/667, 468/192?

Answer: LCM of Numerators as per given numbers 99/888, 31/667, 468/192 is

LCM of Numerators i.e. for 99,31,468 is 159588

GCF of denominators i.e. for 888,667,192 is 1.

Thus, LCM of Fractions is 159588.Finally, LCM of Fractions for 99/888, 31/667, 468/192 is 159588.