Least Common Multiple of 3493/365, 1596/5321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3493/365, 1596/5321 quickly i.e. 796404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3493/365, 1596/5321 is 796404.

LCM(3493/365, 1596/5321) = 796404

LCM of 3493/365, 1596/5321

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 3493/365,1596/5321

Given numbers are 3493/365,1596/5321

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 3493,1596

Least Common Multiple of Numerators i.e. LCM of 3493,1596 is 796404.

GCF of Denominators means GCF of 365,5321 as per the given fractions.

GCF of 365,5321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3493,1596

LCM of Fractions 3493/365,1596/5321 is 796404

7 3493, 1596
499, 228

∴ So the LCM of the given numbers is 7 x 499 x 228 = 796404

Least Common Multiple of 3493,1596 with GCF Formula

Least Common Multiple of 3493,1596 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 3493,1596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3493,1596) = 7

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

GCF(3493,1596) x common factors =7 x 1 = 7

LCM(3493,1596) = ( 3493 × 1596 ) / 7

LCM(3493,1596) = 5574828 / 7

LCM(3493,1596) = 796404


Lets's calculate GCF of 365,5321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 796404/1

Therefore the LCM of Fractions 3493/365,1596/5321 is 796404

Greatest Common Factor of 365,5321 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,5321 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 5321

List of positive integer factors of 5321 that divides 5321 without a remainder.

1,17,313,5321

Greatest Common Factor

We found the factors 365,5321 . The biggest common factor number is the GCF number.
So the greatest common factor 365,5321 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 3493/365, 1596/5321

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 3493/365, 1596/5321?

Answer: LCM of Numerators as per given numbers 3493/365, 1596/5321 is

LCM of Numerators i.e. for 3493,1596 is 796404

GCF of denominators i.e. for 365,5321 is 1.

Thus, LCM of Fractions is 796404.Finally, LCM of Fractions for 3493/365, 1596/5321 is 796404.