Least Common Multiple of 3171/164, 9424/4886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3171/164, 9424/4886 quickly i.e. 14941752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3171/164, 9424/4886 is 14941752.

LCM(3171/164, 9424/4886) = 14941752

LCM of 3171/164, 9424/4886

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 3171/164,9424/4886

Given numbers are 3171/164,9424/4886

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 3171,9424

Least Common Multiple of Numerators i.e. LCM of 3171,9424 is 29883504.

GCF of Denominators means GCF of 164,4886 as per the given fractions.

GCF of 164,4886 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3171,9424

LCM of Fractions 3171/164,9424/4886 is 14941752

Given numbers has no common factors except 1. So, there LCM is their product i.e 29883504

Least Common Multiple of 3171,9424 with GCF Formula

Least Common Multiple of 3171,9424 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 3171,9424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3171,9424) = 1

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

GCF(3171,9424) x common factors =1 x 1 = 1

LCM(3171,9424) = ( 3171 × 9424 ) / 1

LCM(3171,9424) = 29883504 / 1

LCM(3171,9424) = 29883504


Lets's calculate GCF of 164,4886

2 164, 4886
82, 2443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29883504/2

Therefore the LCM of Fractions 3171/164,9424/4886 is 14941752

Greatest Common Factor of 164,4886 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,4886 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 4886

List of positive integer factors of 4886 that divides 4886 without a remainder.

1,2,7,14,349,698,2443,4886

Greatest Common Factor

We found the factors 164,4886 . The biggest common factor number is the GCF number.
So the greatest common factor 164,4886 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 3171/164, 9424/4886

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 3171/164, 9424/4886?

Answer: LCM of Numerators as per given numbers 3171/164, 9424/4886 is

LCM of Numerators i.e. for 3171,9424 is 29883504

GCF of denominators i.e. for 164,4886 is 2.

Thus, LCM of Fractions is 14941752.Finally, LCM of Fractions for 3171/164, 9424/4886 is 14941752.