Least Common Multiple of 329/893, 4564/3165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 329/893, 4564/3165 quickly i.e. 214508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 329/893, 4564/3165 is 214508.

LCM(329/893, 4564/3165) = 214508

LCM of 329/893, 4564/3165

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 329/893,4564/3165

Given numbers are 329/893,4564/3165

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 329,4564

Least Common Multiple of Numerators i.e. LCM of 329,4564 is 214508.

GCF of Denominators means GCF of 893,3165 as per the given fractions.

GCF of 893,3165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 329,4564

LCM of Fractions 329/893,4564/3165 is 214508

7 329, 4564
47, 652

∴ So the LCM of the given numbers is 7 x 47 x 652 = 214508

Least Common Multiple of 329,4564 with GCF Formula

Least Common Multiple of 329,4564 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 329,4564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,4564) = 7

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

GCF(329,4564) x common factors =7 x 1 = 7

LCM(329,4564) = ( 329 × 4564 ) / 7

LCM(329,4564) = 1501556 / 7

LCM(329,4564) = 214508


Lets's calculate GCF of 893,3165

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214508/1

Therefore the LCM of Fractions 329/893,4564/3165 is 214508

Greatest Common Factor of 893,3165 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,3165 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 3165

List of positive integer factors of 3165 that divides 3165 without a remainder.

1,3,5,15,211,633,1055,3165

Greatest Common Factor

We found the factors 893,3165 . The biggest common factor number is the GCF number.
So the greatest common factor 893,3165 is 1.


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 329/893, 4564/3165

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 329/893, 4564/3165?

Answer: LCM of Numerators as per given numbers 329/893, 4564/3165 is

LCM of Numerators i.e. for 329,4564 is 214508

GCF of denominators i.e. for 893,3165 is 1.

Thus, LCM of Fractions is 214508.Finally, LCM of Fractions for 329/893, 4564/3165 is 214508.