Least Common Multiple of 858/75, 832/36, 192/439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 858/75, 832/36, 192/439 quickly i.e. 27456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 858/75, 832/36, 192/439 is 27456.

LCM(858/75, 832/36, 192/439) = 27456

LCM of 858/75, 832/36, 192/439

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 858/75,832/36,192/439

Given numbers are 858/75,832/36,192/439

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 858,832,192

Least Common Multiple of Numerators i.e. LCM of 858,832,192 is 27456.

GCF of Denominators means GCF of 75,36,439 as per the given fractions.

GCF of 75,36,439 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 858,832,192

LCM of Fractions 858/75,832/36,192/439 is 27456

2 858, 832, 192
2 429, 416, 96
2 429, 208, 48
2 429, 104, 24
2 429, 52, 12
2 429, 26, 6
3 429, 13, 3
13 143, 13, 1
11, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 11 x 1 x 1 = 27456

Least Common Multiple of 858,832,192 with GCF Formula

Least Common Multiple of 858,832,192 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 858,832,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,832,192) = 2

common factors(in case of two or more numbers have common factors) = 2496

GCF(858,832,192) x common factors =2 x 2496 = 4992

LCM(858,832,192) = ( 858 × 832 × 192 ) / 4992

LCM(858,832,192) = 137060352 / 4992

LCM(858,832,192) = 27456


Lets's calculate GCF of 75,36,439

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27456/1

Therefore the LCM of Fractions 858/75,832/36,192/439 is 27456

Greatest Common Factor of 75,36,439 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,36,439 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Greatest Common Factor

We found the factors 75,36,439 . The biggest common factor number is the GCF number.
So the greatest common factor 75,36,439 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 858/75, 832/36, 192/439

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 858/75, 832/36, 192/439?

Answer: LCM of Numerators as per given numbers 858/75, 832/36, 192/439 is

LCM of Numerators i.e. for 858,832,192 is 27456

GCF of denominators i.e. for 75,36,439 is 1.

Thus, LCM of Fractions is 27456.Finally, LCM of Fractions for 858/75, 832/36, 192/439 is 27456.