Least Common Multiple of 329/44, 392/5326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 329/44, 392/5326 quickly i.e. 9212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 329/44, 392/5326 is 9212.

LCM(329/44, 392/5326) = 9212

LCM of 329/44, 392/5326

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 329/44,392/5326

Given numbers are 329/44,392/5326

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 329,392

Least Common Multiple of Numerators i.e. LCM of 329,392 is 18424.

GCF of Denominators means GCF of 44,5326 as per the given fractions.

GCF of 44,5326 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 329,392

LCM of Fractions 329/44,392/5326 is 9212

7 329, 392
47, 56

∴ So the LCM of the given numbers is 7 x 47 x 56 = 18424

Least Common Multiple of 329,392 with GCF Formula

Least Common Multiple of 329,392 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 329,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,392) = 7

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

GCF(329,392) x common factors =7 x 1 = 7

LCM(329,392) = ( 329 × 392 ) / 7

LCM(329,392) = 128968 / 7

LCM(329,392) = 18424


Lets's calculate GCF of 44,5326

2 44, 5326
22, 2663

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18424/2

Therefore the LCM of Fractions 329/44,392/5326 is 9212

Greatest Common Factor of 44,5326 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,5326 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 5326

List of positive integer factors of 5326 that divides 5326 without a remainder.

1,2,2663,5326

Greatest Common Factor

We found the factors 44,5326 . The biggest common factor number is the GCF number.
So the greatest common factor 44,5326 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 329/44, 392/5326

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 329/44, 392/5326?

Answer: LCM of Numerators as per given numbers 329/44, 392/5326 is

LCM of Numerators i.e. for 329,392 is 18424

GCF of denominators i.e. for 44,5326 is 2.

Thus, LCM of Fractions is 9212.Finally, LCM of Fractions for 329/44, 392/5326 is 9212.