Least Common Multiple of 524/164, 349/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 524/164, 349/322 quickly i.e. 91438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 524/164, 349/322 is 91438.

LCM(524/164, 349/322) = 91438

LCM of 524/164, 349/322

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 524/164,349/322

Given numbers are 524/164,349/322

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 524,349

Least Common Multiple of Numerators i.e. LCM of 524,349 is 182876.

GCF of Denominators means GCF of 164,322 as per the given fractions.

GCF of 164,322 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 524,349

LCM of Fractions 524/164,349/322 is 91438

Given numbers has no common factors except 1. So, there LCM is their product i.e 182876

Least Common Multiple of 524,349 with GCF Formula

Least Common Multiple of 524,349 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 524,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,349) = 1

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

GCF(524,349) x common factors =1 x 1 = 1

LCM(524,349) = ( 524 × 349 ) / 1

LCM(524,349) = 182876 / 1

LCM(524,349) = 182876


Lets's calculate GCF of 164,322

2 164, 322
82, 161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182876/2

Therefore the LCM of Fractions 524/164,349/322 is 91438

Greatest Common Factor of 164,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,322 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 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 164,322 . The biggest common factor number is the GCF number.
So the greatest common factor 164,322 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 524/164, 349/322

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 524/164, 349/322?

Answer: LCM of Numerators as per given numbers 524/164, 349/322 is

LCM of Numerators i.e. for 524,349 is 182876

GCF of denominators i.e. for 164,322 is 2.

Thus, LCM of Fractions is 91438.Finally, LCM of Fractions for 524/164, 349/322 is 91438.