Least Common Multiple of 82/92, 40/384, 396/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/92, 40/384, 396/134 quickly i.e. 81180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/92, 40/384, 396/134 is 81180.

LCM(82/92, 40/384, 396/134) = 81180

LCM of 82/92, 40/384, 396/134

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 82/92,40/384,396/134

Given numbers are 82/92,40/384,396/134

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 82,40,396

Least Common Multiple of Numerators i.e. LCM of 82,40,396 is 162360.

GCF of Denominators means GCF of 92,384,134 as per the given fractions.

GCF of 92,384,134 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,40,396

LCM of Fractions 82/92,40/384,396/134 is 81180

2 82, 40, 396
2 41, 20, 198
41, 10, 99

∴ So the LCM of the given numbers is 2 x 2 x 41 x 10 x 99 = 162360

Least Common Multiple of 82,40,396 with GCF Formula

Least Common Multiple of 82,40,396 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 82,40,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,40,396) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(82,40,396) x common factors =2 x 4 = 8

LCM(82,40,396) = ( 82 × 40 × 396 ) / 8

LCM(82,40,396) = 1298880 / 8

LCM(82,40,396) = 162360


Lets's calculate GCF of 92,384,134

2 92, 384, 134
46, 192, 67

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162360/2

Therefore the LCM of Fractions 82/92,40/384,396/134 is 81180

Greatest Common Factor of 92,384,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,384,134 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 92,384,134 . The biggest common factor number is the GCF number.
So the greatest common factor 92,384,134 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 82/92, 40/384, 396/134

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 82/92, 40/384, 396/134?

Answer: LCM of Numerators as per given numbers 82/92, 40/384, 396/134 is

LCM of Numerators i.e. for 82,40,396 is 162360

GCF of denominators i.e. for 92,384,134 is 2.

Thus, LCM of Fractions is 81180.Finally, LCM of Fractions for 82/92, 40/384, 396/134 is 81180.