Least Common Multiple of 44/165, 3504/9587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/165, 3504/9587 quickly i.e. 38544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/165, 3504/9587 is 38544.

LCM(44/165, 3504/9587) = 38544

LCM of 44/165, 3504/9587

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 44/165,3504/9587

Given numbers are 44/165,3504/9587

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 44,3504

Least Common Multiple of Numerators i.e. LCM of 44,3504 is 38544.

GCF of Denominators means GCF of 165,9587 as per the given fractions.

GCF of 165,9587 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,3504

LCM of Fractions 44/165,3504/9587 is 38544

2 44, 3504
2 22, 1752
11, 876

∴ So the LCM of the given numbers is 2 x 2 x 11 x 876 = 38544

Least Common Multiple of 44,3504 with GCF Formula

Least Common Multiple of 44,3504 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 44,3504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,3504) = 4

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

GCF(44,3504) x common factors =4 x 1 = 4

LCM(44,3504) = ( 44 × 3504 ) / 4

LCM(44,3504) = 154176 / 4

LCM(44,3504) = 38544


Lets's calculate GCF of 165,9587

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38544/1

Therefore the LCM of Fractions 44/165,3504/9587 is 38544

Greatest Common Factor of 165,9587 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,9587 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 9587

List of positive integer factors of 9587 that divides 9587 without a remainder.

1,9587

Greatest Common Factor

We found the factors 165,9587 . The biggest common factor number is the GCF number.
So the greatest common factor 165,9587 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 44/165, 3504/9587

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 44/165, 3504/9587?

Answer: LCM of Numerators as per given numbers 44/165, 3504/9587 is

LCM of Numerators i.e. for 44,3504 is 38544

GCF of denominators i.e. for 165,9587 is 1.

Thus, LCM of Fractions is 38544.Finally, LCM of Fractions for 44/165, 3504/9587 is 38544.