Least Common Multiple of 92/81, 645/96, 936/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/81, 645/96, 936/171 quickly i.e. 1542840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/81, 645/96, 936/171 is 1542840.

LCM(92/81, 645/96, 936/171) = 1542840

LCM of 92/81, 645/96, 936/171

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 92/81,645/96,936/171

Given numbers are 92/81,645/96,936/171

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 92,645,936

Least Common Multiple of Numerators i.e. LCM of 92,645,936 is 4628520.

GCF of Denominators means GCF of 81,96,171 as per the given fractions.

GCF of 81,96,171 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,645,936

LCM of Fractions 92/81,645/96,936/171 is 1542840

2 92, 645, 936
2 46, 645, 468
3 23, 645, 234
23, 215, 78

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 215 x 78 = 4628520

Least Common Multiple of 92,645,936 with GCF Formula

Least Common Multiple of 92,645,936 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 92,645,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,645,936) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(92,645,936) x common factors =1 x 12 = 12

LCM(92,645,936) = ( 92 × 645 × 936 ) / 12

LCM(92,645,936) = 55542240 / 12

LCM(92,645,936) = 4628520


Lets's calculate GCF of 81,96,171

3 81, 96, 171
27, 32, 57

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4628520/3

Therefore the LCM of Fractions 92/81,645/96,936/171 is 1542840

Greatest Common Factor of 81,96,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,96,171 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

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

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 81,96,171 . The biggest common factor number is the GCF number.
So the greatest common factor 81,96,171 is 3.


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 92/81, 645/96, 936/171

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 92/81, 645/96, 936/171?

Answer: LCM of Numerators as per given numbers 92/81, 645/96, 936/171 is

LCM of Numerators i.e. for 92,645,936 is 4628520

GCF of denominators i.e. for 81,96,171 is 3.

Thus, LCM of Fractions is 1542840.Finally, LCM of Fractions for 92/81, 645/96, 936/171 is 1542840.