Least Common Multiple of 9164/166, 8605/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9164/166, 8605/384 quickly i.e. 39428110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9164/166, 8605/384 is 39428110.

LCM(9164/166, 8605/384) = 39428110

LCM of 9164/166, 8605/384

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 9164/166,8605/384

Given numbers are 9164/166,8605/384

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 9164,8605

Least Common Multiple of Numerators i.e. LCM of 9164,8605 is 78856220.

GCF of Denominators means GCF of 166,384 as per the given fractions.

GCF of 166,384 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9164,8605

LCM of Fractions 9164/166,8605/384 is 39428110

Given numbers has no common factors except 1. So, there LCM is their product i.e 78856220

Least Common Multiple of 9164,8605 with GCF Formula

Least Common Multiple of 9164,8605 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 9164,8605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9164,8605) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(9164,8605) x common factors =1 x 1 = 1

LCM(9164,8605) = ( 9164 × 8605 ) / 1

LCM(9164,8605) = 78856220 / 1

LCM(9164,8605) = 78856220


Lets's calculate GCF of 166,384

2 166, 384
83, 192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78856220/2

Therefore the LCM of Fractions 9164/166,8605/384 is 39428110

Greatest Common Factor of 166,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 166,384 By Matching Biggest Common Factor Method

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

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

Greatest Common Factor

We found the factors 166,384 . The biggest common factor number is the GCF number.
So the greatest common factor 166,384 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 9164/166, 8605/384

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 9164/166, 8605/384?

Answer: LCM of Numerators as per given numbers 9164/166, 8605/384 is

LCM of Numerators i.e. for 9164,8605 is 78856220

GCF of denominators i.e. for 166,384 is 2.

Thus, LCM of Fractions is 39428110.Finally, LCM of Fractions for 9164/166, 8605/384 is 39428110.