Least Common Multiple of 936/589, 3627/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 936/589, 3627/849 quickly i.e. 29016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 936/589, 3627/849 is 29016.

LCM(936/589, 3627/849) = 29016

LCM of 936/589, 3627/849

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 936/589,3627/849

Given numbers are 936/589,3627/849

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 936,3627

Least Common Multiple of Numerators i.e. LCM of 936,3627 is 29016.

GCF of Denominators means GCF of 589,849 as per the given fractions.

GCF of 589,849 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 936,3627

LCM of Fractions 936/589,3627/849 is 29016

3 936, 3627
3 312, 1209
13 104, 403
8, 31

∴ So the LCM of the given numbers is 3 x 3 x 13 x 8 x 31 = 29016

Least Common Multiple of 936,3627 with GCF Formula

Least Common Multiple of 936,3627 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 936,3627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,3627) = 117

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

GCF(936,3627) x common factors =117 x 1 = 117

LCM(936,3627) = ( 936 × 3627 ) / 117

LCM(936,3627) = 3394872 / 117

LCM(936,3627) = 29016


Lets's calculate GCF of 589,849

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29016/1

Therefore the LCM of Fractions 936/589,3627/849 is 29016

Greatest Common Factor of 589,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 589,849 By Matching Biggest Common Factor Method

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 589,849 . The biggest common factor number is the GCF number.
So the greatest common factor 589,849 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 936/589, 3627/849

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 936/589, 3627/849?

Answer: LCM of Numerators as per given numbers 936/589, 3627/849 is

LCM of Numerators i.e. for 936,3627 is 29016

GCF of denominators i.e. for 589,849 is 1.

Thus, LCM of Fractions is 29016.Finally, LCM of Fractions for 936/589, 3627/849 is 29016.