Least Common Multiple of 9536/345, 1638/9009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9536/345, 1638/9009 quickly i.e. 2603328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9536/345, 1638/9009 is 2603328.

LCM(9536/345, 1638/9009) = 2603328

LCM of 9536/345, 1638/9009

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 9536/345,1638/9009

Given numbers are 9536/345,1638/9009

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 9536,1638

Least Common Multiple of Numerators i.e. LCM of 9536,1638 is 7809984.

GCF of Denominators means GCF of 345,9009 as per the given fractions.

GCF of 345,9009 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9536,1638

LCM of Fractions 9536/345,1638/9009 is 2603328

2 9536, 1638
4768, 819

∴ So the LCM of the given numbers is 2 x 4768 x 819 = 7809984

Least Common Multiple of 9536,1638 with GCF Formula

Least Common Multiple of 9536,1638 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 9536,1638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9536,1638) = 2

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

GCF(9536,1638) x common factors =2 x 1 = 2

LCM(9536,1638) = ( 9536 × 1638 ) / 2

LCM(9536,1638) = 15619968 / 2

LCM(9536,1638) = 7809984


Lets's calculate GCF of 345,9009

3 345, 9009
115, 3003

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7809984/3

Therefore the LCM of Fractions 9536/345,1638/9009 is 2603328

Greatest Common Factor of 345,9009 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,9009 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 9009

List of positive integer factors of 9009 that divides 9009 without a remainder.

1,3,7,9,11,13,21,33,39,63,77,91,99,117,143,231,273,429,693,819,1001,1287,3003,9009

Greatest Common Factor

We found the factors 345,9009 . The biggest common factor number is the GCF number.
So the greatest common factor 345,9009 is 3.


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 9536/345, 1638/9009

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 9536/345, 1638/9009?

Answer: LCM of Numerators as per given numbers 9536/345, 1638/9009 is

LCM of Numerators i.e. for 9536,1638 is 7809984

GCF of denominators i.e. for 345,9009 is 3.

Thus, LCM of Fractions is 2603328.Finally, LCM of Fractions for 9536/345, 1638/9009 is 2603328.