Least Common Multiple of 34/82, 38/944, 744/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/82, 38/944, 744/192 quickly i.e. 120156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/82, 38/944, 744/192 is 120156.

LCM(34/82, 38/944, 744/192) = 120156

LCM of 34/82, 38/944, 744/192

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 34/82,38/944,744/192

Given numbers are 34/82,38/944,744/192

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 34,38,744

Least Common Multiple of Numerators i.e. LCM of 34,38,744 is 240312.

GCF of Denominators means GCF of 82,944,192 as per the given fractions.

GCF of 82,944,192 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,38,744

LCM of Fractions 34/82,38/944,744/192 is 120156

2 34, 38, 744
17, 19, 372

∴ So the LCM of the given numbers is 2 x 17 x 19 x 372 = 240312

Least Common Multiple of 34,38,744 with GCF Formula

Least Common Multiple of 34,38,744 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 34,38,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,38,744) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(34,38,744) x common factors =2 x 2 = 4

LCM(34,38,744) = ( 34 × 38 × 744 ) / 4

LCM(34,38,744) = 961248 / 4

LCM(34,38,744) = 240312


Lets's calculate GCF of 82,944,192

2 82, 944, 192
41, 472, 96

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240312/2

Therefore the LCM of Fractions 34/82,38/944,744/192 is 120156

Greatest Common Factor of 82,944,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,944,192 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

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 82,944,192 . The biggest common factor number is the GCF number.
So the greatest common factor 82,944,192 is 2.


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 34/82, 38/944, 744/192

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 34/82, 38/944, 744/192?

Answer: LCM of Numerators as per given numbers 34/82, 38/944, 744/192 is

LCM of Numerators i.e. for 34,38,744 is 240312

GCF of denominators i.e. for 82,944,192 is 2.

Thus, LCM of Fractions is 120156.Finally, LCM of Fractions for 34/82, 38/944, 744/192 is 120156.