Least Common Multiple of 82/888, 231/706, 192/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/888, 231/706, 192/105 quickly i.e. 606144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/888, 231/706, 192/105 is 606144.

LCM(82/888, 231/706, 192/105) = 606144

LCM of 82/888, 231/706, 192/105

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 82/888,231/706,192/105

Given numbers are 82/888,231/706,192/105

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 82,231,192

Least Common Multiple of Numerators i.e. LCM of 82,231,192 is 606144.

GCF of Denominators means GCF of 888,706,105 as per the given fractions.

GCF of 888,706,105 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,231,192

LCM of Fractions 82/888,231/706,192/105 is 606144

2 82, 231, 192
3 41, 231, 96
41, 77, 32

∴ So the LCM of the given numbers is 2 x 3 x 41 x 77 x 32 = 606144

Least Common Multiple of 82,231,192 with GCF Formula

Least Common Multiple of 82,231,192 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 82,231,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,231,192) = 1

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

GCF(82,231,192) x common factors =1 x 6 = 6

LCM(82,231,192) = ( 82 × 231 × 192 ) / 6

LCM(82,231,192) = 3636864 / 6

LCM(82,231,192) = 606144


Lets's calculate GCF of 888,706,105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 606144/1

Therefore the LCM of Fractions 82/888,231/706,192/105 is 606144

Greatest Common Factor of 888,706,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 888,706,105 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 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 888,706,105 . The biggest common factor number is the GCF number.
So the greatest common factor 888,706,105 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 82/888, 231/706, 192/105

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 82/888, 231/706, 192/105?

Answer: LCM of Numerators as per given numbers 82/888, 231/706, 192/105 is

LCM of Numerators i.e. for 82,231,192 is 606144

GCF of denominators i.e. for 888,706,105 is 1.

Thus, LCM of Fractions is 606144.Finally, LCM of Fractions for 82/888, 231/706, 192/105 is 606144.